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Finding the Fourth Proportional to 1,832.31, 2,527.88 and 1,132.47

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Solution

The fourth proportional to 1,832.31, 2,527.88 and 1,132.47 is: 1,562.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,832.31 : 2,527.88 = 1,132.47 : x
  2. Step 2: Convert to fraction form
    1,832.31/2,527.88 = 1,132.47/x
  3. Step 3: Cross multiply
    1,832.31x = 2,527.88 × 1,132.47
  4. Step 4: Simplify right side
    1,832.31x = 2,862,742.60
  5. Step 5: Solve for x
    x = 2,862,742.60/1,832.31
  6. Step 6: Final answer
    x = 1,562.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.