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Finding the Fourth Proportional to 1,691.31, 2,534.80 and 1,471.02

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Solution

The fourth proportional to 1,691.31, 2,534.80 and 1,471.02 is: 2,204.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,691.31 : 2,534.80 = 1,471.02 : x
  2. Step 2: Convert to fraction form
    1,691.31/2,534.80 = 1,471.02/x
  3. Step 3: Cross multiply
    1,691.31x = 2,534.80 × 1,471.02
  4. Step 4: Simplify right side
    1,691.31x = 3,728,741.50
  5. Step 5: Solve for x
    x = 3,728,741.50/1,691.31
  6. Step 6: Final answer
    x = 2,204.65

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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.