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Finding the Fourth Proportional to 2,044.98, 2,822.16 and 1,160.86

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Solution

The fourth proportional to 2,044.98, 2,822.16 and 1,160.86 is: 1,602.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,044.98 : 2,822.16 = 1,160.86 : x
  2. Step 2: Convert to fraction form
    2,044.98/2,822.16 = 1,160.86/x
  3. Step 3: Cross multiply
    2,044.98x = 2,822.16 × 1,160.86
  4. Step 4: Simplify right side
    2,044.98x = 3,276,126.85
  5. Step 5: Solve for x
    x = 3,276,126.85/2,044.98
  6. Step 6: Final answer
    x = 1,602.04

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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.