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Finding the Fourth Proportional to 1,744.52, 2,614.34 and 964.90

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Solution

The fourth proportional to 1,744.52, 2,614.34 and 964.90 is: 1,446.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,744.52 : 2,614.34 = 964.90 : x
  2. Step 2: Convert to fraction form
    1,744.52/2,614.34 = 964.90/x
  3. Step 3: Cross multiply
    1,744.52x = 2,614.34 × 964.90
  4. Step 4: Simplify right side
    1,744.52x = 2,522,576.67
  5. Step 5: Solve for x
    x = 2,522,576.67/1,744.52
  6. Step 6: Final answer
    x = 1,446.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.