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Finding the Fourth Proportional to 2,585.18, 3,877.20 and 736.26

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Solution

The fourth proportional to 2,585.18, 3,877.20 and 736.26 is: 1,104.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,585.18 : 3,877.20 = 736.26 : x
  2. Step 2: Convert to fraction form
    2,585.18/3,877.20 = 736.26/x
  3. Step 3: Cross multiply
    2,585.18x = 3,877.20 × 736.26
  4. Step 4: Simplify right side
    2,585.18x = 2,854,623.59
  5. Step 5: Solve for x
    x = 2,854,623.59/2,585.18
  6. Step 6: Final answer
    x = 1,104.23

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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.