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Finding the Fourth Proportional to 1,747.62, 2,622.15 and 1,572.66

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Solution

The fourth proportional to 1,747.62, 2,622.15 and 1,572.66 is: 2,359.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,747.62 : 2,622.15 = 1,572.66 : x
  2. Step 2: Convert to fraction form
    1,747.62/2,622.15 = 1,572.66/x
  3. Step 3: Cross multiply
    1,747.62x = 2,622.15 × 1,572.66
  4. Step 4: Simplify right side
    1,747.62x = 4,123,750.42
  5. Step 5: Solve for x
    x = 4,123,750.42/1,747.62
  6. Step 6: Final answer
    x = 2,359.64

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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.