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Finding the Fourth Proportional to 2,743.57, 4,114.33 and 988.10

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Solution

The fourth proportional to 2,743.57, 4,114.33 and 988.10 is: 1,481.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,743.57 : 4,114.33 = 988.10 : x
  2. Step 2: Convert to fraction form
    2,743.57/4,114.33 = 988.10/x
  3. Step 3: Cross multiply
    2,743.57x = 4,114.33 × 988.10
  4. Step 4: Simplify right side
    2,743.57x = 4,065,369.47
  5. Step 5: Solve for x
    x = 4,065,369.47/2,743.57
  6. Step 6: Final answer
    x = 1,481.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.