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Finding the Fourth Proportional to 1,747.62, 2,412.95 and 1,159.38

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Solution

The fourth proportional to 1,747.62, 2,412.95 and 1,159.38 is: 1,600.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,747.62 : 2,412.95 = 1,159.38 : x
  2. Step 2: Convert to fraction form
    1,747.62/2,412.95 = 1,159.38/x
  3. Step 3: Cross multiply
    1,747.62x = 2,412.95 × 1,159.38
  4. Step 4: Simplify right side
    1,747.62x = 2,797,525.97
  5. Step 5: Solve for x
    x = 2,797,525.97/1,747.62
  6. Step 6: Final answer
    x = 1,600.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.