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Finding the Fourth Proportional to 2,387.01, 3,580.53 and 743.52

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Solution

The fourth proportional to 2,387.01, 3,580.53 and 743.52 is: 1,115.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,387.01 : 3,580.53 = 743.52 : x
  2. Step 2: Convert to fraction form
    2,387.01/3,580.53 = 743.52/x
  3. Step 3: Cross multiply
    2,387.01x = 3,580.53 × 743.52
  4. Step 4: Simplify right side
    2,387.01x = 2,662,195.67
  5. Step 5: Solve for x
    x = 2,662,195.67/2,387.01
  6. Step 6: Final answer
    x = 1,115.28

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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.