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Finding the Fourth Proportional to 3,119.91, 4,678.49 and 1,658.73

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Solution

The fourth proportional to 3,119.91, 4,678.49 and 1,658.73 is: 2,487.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,119.91 : 4,678.49 = 1,658.73 : x
  2. Step 2: Convert to fraction form
    3,119.91/4,678.49 = 1,658.73/x
  3. Step 3: Cross multiply
    3,119.91x = 4,678.49 × 1,658.73
  4. Step 4: Simplify right side
    3,119.91x = 7,760,355.86
  5. Step 5: Solve for x
    x = 7,760,355.86/3,119.91
  6. Step 6: Final answer
    x = 2,487.37

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.