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Finding the Fourth Proportional to 2,753.60, 4,127.70 and 2,425.55

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Solution

The fourth proportional to 2,753.60, 4,127.70 and 2,425.55 is: 3,635.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,753.60 : 4,127.70 = 2,425.55 : x
  2. Step 2: Convert to fraction form
    2,753.60/4,127.70 = 2,425.55/x
  3. Step 3: Cross multiply
    2,753.60x = 4,127.70 × 2,425.55
  4. Step 4: Simplify right side
    2,753.60x = 10,011,942.74
  5. Step 5: Solve for x
    x = 10,011,942.74/2,753.60
  6. Step 6: Final answer
    x = 3,635.95

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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.