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Finding the Fourth Proportional to 2,585.43, 3,877.56 and 736.52

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Solution

The fourth proportional to 2,585.43, 3,877.56 and 736.52 is: 1,104.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,585.43 : 3,877.56 = 736.52 : x
  2. Step 2: Convert to fraction form
    2,585.43/3,877.56 = 736.52/x
  3. Step 3: Cross multiply
    2,585.43x = 3,877.56 × 736.52
  4. Step 4: Simplify right side
    2,585.43x = 2,855,881.10
  5. Step 5: Solve for x
    x = 2,855,881.10/2,585.43
  6. Step 6: Final answer
    x = 1,104.61

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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.