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Finding the Fourth Proportional to 2,948.68, 4,422.91 and 757.43

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Solution

The fourth proportional to 2,948.68, 4,422.91 and 757.43 is: 1,136.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,948.68 : 4,422.91 = 757.43 : x
  2. Step 2: Convert to fraction form
    2,948.68/4,422.91 = 757.43/x
  3. Step 3: Cross multiply
    2,948.68x = 4,422.91 × 757.43
  4. Step 4: Simplify right side
    2,948.68x = 3,350,044.72
  5. Step 5: Solve for x
    x = 3,350,044.72/2,948.68
  6. Step 6: Final answer
    x = 1,136.12

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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.