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Finding the Fourth Proportional to 2,044.17, 2,821.02 and 1,160.11

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Solution

The fourth proportional to 2,044.17, 2,821.02 and 1,160.11 is: 1,600.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,044.17 : 2,821.02 = 1,160.11 : x
  2. Step 2: Convert to fraction form
    2,044.17/2,821.02 = 1,160.11/x
  3. Step 3: Cross multiply
    2,044.17x = 2,821.02 × 1,160.11
  4. Step 4: Simplify right side
    2,044.17x = 3,272,693.51
  5. Step 5: Solve for x
    x = 3,272,693.51/2,044.17
  6. Step 6: Final answer
    x = 1,600.99

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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.