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Finding the Fourth Proportional to 1,722.43, 2,582.28 and 747.85

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Solution

The fourth proportional to 1,722.43, 2,582.28 and 747.85 is: 1,121.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,722.43 : 2,582.28 = 747.85 : x
  2. Step 2: Convert to fraction form
    1,722.43/2,582.28 = 747.85/x
  3. Step 3: Cross multiply
    1,722.43x = 2,582.28 × 747.85
  4. Step 4: Simplify right side
    1,722.43x = 1,931,158.10
  5. Step 5: Solve for x
    x = 1,931,158.10/1,722.43
  6. Step 6: Final answer
    x = 1,121.18

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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.