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Finding the Fourth Proportional to 2,387.64, 3,581.48 and 744.12

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Solution

The fourth proportional to 2,387.64, 3,581.48 and 744.12 is: 1,116.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,387.64 : 3,581.48 = 744.12 : x
  2. Step 2: Convert to fraction form
    2,387.64/3,581.48 = 744.12/x
  3. Step 3: Cross multiply
    2,387.64x = 3,581.48 × 744.12
  4. Step 4: Simplify right side
    2,387.64x = 2,665,050.90
  5. Step 5: Solve for x
    x = 2,665,050.90/2,387.64
  6. Step 6: Final answer
    x = 1,116.19

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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.