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Finding the Fourth Proportional to 2,044.88, 2,822 and 1,160.74

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Solution

The fourth proportional to 2,044.88, 2,822 and 1,160.74 is: 1,601.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,044.88 : 2,822 = 1,160.74 : x
  2. Step 2: Convert to fraction form
    2,044.88/2,822 = 1,160.74/x
  3. Step 3: Cross multiply
    2,044.88x = 2,822 × 1,160.74
  4. Step 4: Simplify right side
    2,044.88x = 3,275,608.28
  5. Step 5: Solve for x
    x = 3,275,608.28/2,044.88
  6. Step 6: Final answer
    x = 1,601.86

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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.