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Finding the Fourth Proportional to 3,149.48, 4,724.90 and 958.38

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Solution

The fourth proportional to 3,149.48, 4,724.90 and 958.38 is: 1,437.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,149.48 : 4,724.90 = 958.38 : x
  2. Step 2: Convert to fraction form
    3,149.48/4,724.90 = 958.38/x
  3. Step 3: Cross multiply
    3,149.48x = 4,724.90 × 958.38
  4. Step 4: Simplify right side
    3,149.48x = 4,528,249.66
  5. Step 5: Solve for x
    x = 4,528,249.66/3,149.48
  6. Step 6: Final answer
    x = 1,437.78

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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.