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Finding the Fourth Proportional to 2,337.52, 3,506.68 and 1,105.52

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Solution

The fourth proportional to 2,337.52, 3,506.68 and 1,105.52 is: 1,658.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,337.52 : 3,506.68 = 1,105.52 : x
  2. Step 2: Convert to fraction form
    2,337.52/3,506.68 = 1,105.52/x
  3. Step 3: Cross multiply
    2,337.52x = 3,506.68 × 1,105.52
  4. Step 4: Simplify right side
    2,337.52x = 3,876,704.87
  5. Step 5: Solve for x
    x = 3,876,704.87/2,337.52
  6. Step 6: Final answer
    x = 1,658.47

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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.