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Finding the Fourth Proportional to 1,691.56, 2,330.10 and 1,411.71

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Solution

The fourth proportional to 1,691.56, 2,330.10 and 1,411.71 is: 1,944.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,691.56 : 2,330.10 = 1,411.71 : x
  2. Step 2: Convert to fraction form
    1,691.56/2,330.10 = 1,411.71/x
  3. Step 3: Cross multiply
    1,691.56x = 2,330.10 × 1,411.71
  4. Step 4: Simplify right side
    1,691.56x = 3,289,425.47
  5. Step 5: Solve for x
    x = 3,289,425.47/1,691.56
  6. Step 6: Final answer
    x = 1,944.61

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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.