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Finding the Fourth Proportional to 1,512.68, 2,082.74 and 1,374.28

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Solution

The fourth proportional to 1,512.68, 2,082.74 and 1,374.28 is: 1,892.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,512.68 : 2,082.74 = 1,374.28 : x
  2. Step 2: Convert to fraction form
    1,512.68/2,082.74 = 1,374.28/x
  3. Step 3: Cross multiply
    1,512.68x = 2,082.74 × 1,374.28
  4. Step 4: Simplify right side
    1,512.68x = 2,862,267.93
  5. Step 5: Solve for x
    x = 2,862,267.93/1,512.68
  6. Step 6: Final answer
    x = 1,892.18

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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.