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Finding the Fourth Proportional to 1,882.17, 2,597.35 and 1,042.82

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Solution

The fourth proportional to 1,882.17, 2,597.35 and 1,042.82 is: 1,439.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,882.17 : 2,597.35 = 1,042.82 : x
  2. Step 2: Convert to fraction form
    1,882.17/2,597.35 = 1,042.82/x
  3. Step 3: Cross multiply
    1,882.17x = 2,597.35 × 1,042.82
  4. Step 4: Simplify right side
    1,882.17x = 2,708,568.53
  5. Step 5: Solve for x
    x = 2,708,568.53/1,882.17
  6. Step 6: Final answer
    x = 1,439.07

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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.