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Finding the Fourth Proportional to 2,591.46, 3,576.22 and 1,412.55

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Solution

The fourth proportional to 2,591.46, 3,576.22 and 1,412.55 is: 1,949.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,591.46 : 3,576.22 = 1,412.55 : x
  2. Step 2: Convert to fraction form
    2,591.46/3,576.22 = 1,412.55/x
  3. Step 3: Cross multiply
    2,591.46x = 3,576.22 × 1,412.55
  4. Step 4: Simplify right side
    2,591.46x = 5,051,586.03
  5. Step 5: Solve for x
    x = 5,051,586.03/2,591.46
  6. Step 6: Final answer
    x = 1,949.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.