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Finding the Fourth Proportional to 2,425.59, 3,637.60 and 1,255.45

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Solution

The fourth proportional to 2,425.59, 3,637.60 and 1,255.45 is: 1,882.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,425.59 : 3,637.60 = 1,255.45 : x
  2. Step 2: Convert to fraction form
    2,425.59/3,637.60 = 1,255.45/x
  3. Step 3: Cross multiply
    2,425.59x = 3,637.60 × 1,255.45
  4. Step 4: Simplify right side
    2,425.59x = 4,566,824.92
  5. Step 5: Solve for x
    x = 4,566,824.92/2,425.59
  6. Step 6: Final answer
    x = 1,882.77

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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.