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Finding the Fourth Proportional to 1,581.10, 2,372.86 and 1,033.14

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Solution

The fourth proportional to 1,581.10, 2,372.86 and 1,033.14 is: 1,550.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,581.10 : 2,372.86 = 1,033.14 : x
  2. Step 2: Convert to fraction form
    1,581.10/2,372.86 = 1,033.14/x
  3. Step 3: Cross multiply
    1,581.10x = 2,372.86 × 1,033.14
  4. Step 4: Simplify right side
    1,581.10x = 2,451,496.58
  5. Step 5: Solve for x
    x = 2,451,496.58/1,581.10
  6. Step 6: Final answer
    x = 1,550.50

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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.