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Finding the Fourth Proportional to 1,797.28, 2,691.06 and 1,431.16

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Solution

The fourth proportional to 1,797.28, 2,691.06 and 1,431.16 is: 2,142.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,797.28 : 2,691.06 = 1,431.16 : x
  2. Step 2: Convert to fraction form
    1,797.28/2,691.06 = 1,431.16/x
  3. Step 3: Cross multiply
    1,797.28x = 2,691.06 × 1,431.16
  4. Step 4: Simplify right side
    1,797.28x = 3,851,337.43
  5. Step 5: Solve for x
    x = 3,851,337.43/1,797.28
  6. Step 6: Final answer
    x = 2,142.87

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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.