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Finding the Fourth Proportional to 1,581.41, 2,372.12 and 759.87

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Solution

The fourth proportional to 1,581.41, 2,372.12 and 759.87 is: 1,139.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,581.41 : 2,372.12 = 759.87 : x
  2. Step 2: Convert to fraction form
    1,581.41/2,372.12 = 759.87/x
  3. Step 3: Cross multiply
    1,581.41x = 2,372.12 × 759.87
  4. Step 4: Simplify right side
    1,581.41x = 1,802,499.03
  5. Step 5: Solve for x
    x = 1,802,499.03/1,581.41
  6. Step 6: Final answer
    x = 1,139.81

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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.