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Finding the Fourth Proportional to 2,591.70, 3,576.57 and 1,412.85

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Solution

The fourth proportional to 2,591.70, 3,576.57 and 1,412.85 is: 1,949.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,591.70 : 3,576.57 = 1,412.85 : x
  2. Step 2: Convert to fraction form
    2,591.70/3,576.57 = 1,412.85/x
  3. Step 3: Cross multiply
    2,591.70x = 3,576.57 × 1,412.85
  4. Step 4: Simplify right side
    2,591.70x = 5,053,147.98
  5. Step 5: Solve for x
    x = 5,053,147.98/2,591.70
  6. Step 6: Final answer
    x = 1,949.74

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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.