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Finding the Fourth Proportional to 2,591.52, 3,576.34 and 1,412.59

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Solution

The fourth proportional to 2,591.52, 3,576.34 and 1,412.59 is: 1,949.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,591.52 : 3,576.34 = 1,412.59 : x
  2. Step 2: Convert to fraction form
    2,591.52/3,576.34 = 1,412.59/x
  3. Step 3: Cross multiply
    2,591.52x = 3,576.34 × 1,412.59
  4. Step 4: Simplify right side
    2,591.52x = 5,051,902.12
  5. Step 5: Solve for x
    x = 5,051,902.12/2,591.52
  6. Step 6: Final answer
    x = 1,949.40

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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.