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Finding the Fourth Proportional to 1,882.11, 2,597.07 and 1,042.71

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Solution

The fourth proportional to 1,882.11, 2,597.07 and 1,042.71 is: 1,438.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,882.11 : 2,597.07 = 1,042.71 : x
  2. Step 2: Convert to fraction form
    1,882.11/2,597.07 = 1,042.71/x
  3. Step 3: Cross multiply
    1,882.11x = 2,597.07 × 1,042.71
  4. Step 4: Simplify right side
    1,882.11x = 2,707,990.86
  5. Step 5: Solve for x
    x = 2,707,990.86/1,882.11
  6. Step 6: Final answer
    x = 1,438.81

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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.