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Finding the Fourth Proportional to 2,542.80, 3,507.70 and 2,098.11

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Solution

The fourth proportional to 2,542.80, 3,507.70 and 2,098.11 is: 2,894.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,542.80 : 3,507.70 = 2,098.11 : x
  2. Step 2: Convert to fraction form
    2,542.80/3,507.70 = 2,098.11/x
  3. Step 3: Cross multiply
    2,542.80x = 3,507.70 × 2,098.11
  4. Step 4: Simplify right side
    2,542.80x = 7,359,540.45
  5. Step 5: Solve for x
    x = 7,359,540.45/2,542.80
  6. Step 6: Final answer
    x = 2,894.27

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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.