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Finding the Fourth Proportional to 2,265.08, 3,397.10 and 621.76

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Solution

The fourth proportional to 2,265.08, 3,397.10 and 621.76 is: 932.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,265.08 : 3,397.10 = 621.76 : x
  2. Step 2: Convert to fraction form
    2,265.08/3,397.10 = 621.76/x
  3. Step 3: Cross multiply
    2,265.08x = 3,397.10 × 621.76
  4. Step 4: Simplify right side
    2,265.08x = 2,112,175.66
  5. Step 5: Solve for x
    x = 2,112,175.66/2,265.08
  6. Step 6: Final answer
    x = 932.49

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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.