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Finding the Fourth Proportional to 3,149.57, 4,346.51 and 2,269.10

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Solution

The fourth proportional to 3,149.57, 4,346.51 and 2,269.10 is: 3,131.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,149.57 : 4,346.51 = 2,269.10 : x
  2. Step 2: Convert to fraction form
    3,149.57/4,346.51 = 2,269.10/x
  3. Step 3: Cross multiply
    3,149.57x = 4,346.51 × 2,269.10
  4. Step 4: Simplify right side
    3,149.57x = 9,862,632.76
  5. Step 5: Solve for x
    x = 9,862,632.76/3,149.57
  6. Step 6: Final answer
    x = 3,131.43

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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.