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Finding the Fourth Proportional to 2,044.32, 2,821.02 and 1,160.14

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Solution

The fourth proportional to 2,044.32, 2,821.02 and 1,160.14 is: 1,600.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,044.32 : 2,821.02 = 1,160.14 : x
  2. Step 2: Convert to fraction form
    2,044.32/2,821.02 = 1,160.14/x
  3. Step 3: Cross multiply
    2,044.32x = 2,821.02 × 1,160.14
  4. Step 4: Simplify right side
    2,044.32x = 3,272,778.14
  5. Step 5: Solve for x
    x = 3,272,778.14/2,044.32
  6. Step 6: Final answer
    x = 1,600.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.