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Finding the Fourth Proportional to 2,591.82, 3,576.68 and 1,412.90

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Solution

The fourth proportional to 2,591.82, 3,576.68 and 1,412.90 is: 1,949.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,591.82 : 3,576.68 = 1,412.90 : x
  2. Step 2: Convert to fraction form
    2,591.82/3,576.68 = 1,412.90/x
  3. Step 3: Cross multiply
    2,591.82x = 3,576.68 × 1,412.90
  4. Step 4: Simplify right side
    2,591.82x = 5,053,491.17
  5. Step 5: Solve for x
    x = 5,053,491.17/2,591.82
  6. Step 6: Final answer
    x = 1,949.78

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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.