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Finding the Fourth Proportional to 2,265.55, 3,397.93 and 621.74

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Solution

The fourth proportional to 2,265.55, 3,397.93 and 621.74 is: 932.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,265.55 : 3,397.93 = 621.74 : x
  2. Step 2: Convert to fraction form
    2,265.55/3,397.93 = 621.74/x
  3. Step 3: Cross multiply
    2,265.55x = 3,397.93 × 621.74
  4. Step 4: Simplify right side
    2,265.55x = 2,112,635.94
  5. Step 5: Solve for x
    x = 2,112,635.94/2,265.55
  6. Step 6: Final answer
    x = 932.51

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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.