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Finding the Fourth Proportional to 2,265.35, 3,397.87 and 621.77

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Solution

The fourth proportional to 2,265.35, 3,397.87 and 621.77 is: 932.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,265.35 : 3,397.87 = 621.77 : x
  2. Step 2: Convert to fraction form
    2,265.35/3,397.87 = 621.77/x
  3. Step 3: Cross multiply
    2,265.35x = 3,397.87 × 621.77
  4. Step 4: Simplify right side
    2,265.35x = 2,112,690.52
  5. Step 5: Solve for x
    x = 2,112,690.52/2,265.35
  6. Step 6: Final answer
    x = 932.61

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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.