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Finding the Fourth Proportional to 1,581.10, 2,372.86 and 1,033.13

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Solution

The fourth proportional to 1,581.10, 2,372.86 and 1,033.13 is: 1,550.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,581.10 : 2,372.86 = 1,033.13 : x
  2. Step 2: Convert to fraction form
    1,581.10/2,372.86 = 1,033.13/x
  3. Step 3: Cross multiply
    1,581.10x = 2,372.86 × 1,033.13
  4. Step 4: Simplify right side
    1,581.10x = 2,451,472.85
  5. Step 5: Solve for x
    x = 2,451,472.85/1,581.10
  6. Step 6: Final answer
    x = 1,550.49

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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.