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Finding the Fourth Proportional to 3,138.48, 4,710.48 and 1,678.80

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Solution

The fourth proportional to 3,138.48, 4,710.48 and 1,678.80 is: 2,519.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,138.48 : 4,710.48 = 1,678.80 : x
  2. Step 2: Convert to fraction form
    3,138.48/4,710.48 = 1,678.80/x
  3. Step 3: Cross multiply
    3,138.48x = 4,710.48 × 1,678.80
  4. Step 4: Simplify right side
    3,138.48x = 7,907,953.82
  5. Step 5: Solve for x
    x = 7,907,953.82/3,138.48
  6. Step 6: Final answer
    x = 2,519.68

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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.