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Finding the Fourth Proportional to 3,184.91, 4,777.39 and 993.65

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Solution

The fourth proportional to 3,184.91, 4,777.39 and 993.65 is: 1,490.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,184.91 : 4,777.39 = 993.65 : x
  2. Step 2: Convert to fraction form
    3,184.91/4,777.39 = 993.65/x
  3. Step 3: Cross multiply
    3,184.91x = 4,777.39 × 993.65
  4. Step 4: Simplify right side
    3,184.91x = 4,747,053.57
  5. Step 5: Solve for x
    x = 4,747,053.57/3,184.91
  6. Step 6: Final answer
    x = 1,490.49

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Double scale
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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.