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Finding the Fourth Proportional to 2,732.47, 3,772.18 and 1,613.76

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Solution

The fourth proportional to 2,732.47, 3,772.18 and 1,613.76 is: 2,227.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,732.47 : 3,772.18 = 1,613.76 : x
  2. Step 2: Convert to fraction form
    2,732.47/3,772.18 = 1,613.76/x
  3. Step 3: Cross multiply
    2,732.47x = 3,772.18 × 1,613.76
  4. Step 4: Simplify right side
    2,732.47x = 6,087,393.20
  5. Step 5: Solve for x
    x = 6,087,393.20/2,732.47
  6. Step 6: Final answer
    x = 2,227.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.