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Finding the Fourth Proportional to 1,854.30, 2,781.47 and 621.71

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Solution

The fourth proportional to 1,854.30, 2,781.47 and 621.71 is: 932.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,854.30 : 2,781.47 = 621.71 : x
  2. Step 2: Convert to fraction form
    1,854.30/2,781.47 = 621.71/x
  3. Step 3: Cross multiply
    1,854.30x = 2,781.47 × 621.71
  4. Step 4: Simplify right side
    1,854.30x = 1,729,274.67
  5. Step 5: Solve for x
    x = 1,729,274.67/1,854.30
  6. Step 6: Final answer
    x = 932.58

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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.