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Finding the Fourth Proportional to 2,265.21, 3,397.47 and 621.78

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Solution

The fourth proportional to 2,265.21, 3,397.47 and 621.78 is: 932.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,265.21 : 3,397.47 = 621.78 : x
  2. Step 2: Convert to fraction form
    2,265.21/3,397.47 = 621.78/x
  3. Step 3: Cross multiply
    2,265.21x = 3,397.47 × 621.78
  4. Step 4: Simplify right side
    2,265.21x = 2,112,478.90
  5. Step 5: Solve for x
    x = 2,112,478.90/2,265.21
  6. Step 6: Final answer
    x = 932.58

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