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Finding the Fourth Proportional to 2,113.92, 2,917.17 and 1,169.70

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Solution

The fourth proportional to 2,113.92, 2,917.17 and 1,169.70 is: 1,614.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,113.92 : 2,917.17 = 1,169.70 : x
  2. Step 2: Convert to fraction form
    2,113.92/2,917.17 = 1,169.70/x
  3. Step 3: Cross multiply
    2,113.92x = 2,917.17 × 1,169.70
  4. Step 4: Simplify right side
    2,113.92x = 3,412,213.75
  5. Step 5: Solve for x
    x = 3,412,213.75/2,113.92
  6. Step 6: Final answer
    x = 1,614.16

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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.