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Finding the Fourth Proportional to 1,581.44, 2,370.72 and 1,149.44

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Solution

The fourth proportional to 1,581.44, 2,370.72 and 1,149.44 is: 1,723.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,581.44 : 2,370.72 = 1,149.44 : x
  2. Step 2: Convert to fraction form
    1,581.44/2,370.72 = 1,149.44/x
  3. Step 3: Cross multiply
    1,581.44x = 2,370.72 × 1,149.44
  4. Step 4: Simplify right side
    1,581.44x = 2,725,000.40
  5. Step 5: Solve for x
    x = 2,725,000.40/1,581.44
  6. Step 6: Final answer
    x = 1,723.11

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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.