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Finding the Fourth Proportional to 3,147.50, 4,343.49 and 2,152.74

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Solution

The fourth proportional to 3,147.50, 4,343.49 and 2,152.74 is: 2,970.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,147.50 : 4,343.49 = 2,152.74 : x
  2. Step 2: Convert to fraction form
    3,147.50/4,343.49 = 2,152.74/x
  3. Step 3: Cross multiply
    3,147.50x = 4,343.49 × 2,152.74
  4. Step 4: Simplify right side
    3,147.50x = 9,350,404.66
  5. Step 5: Solve for x
    x = 9,350,404.66/3,147.50
  6. Step 6: Final answer
    x = 2,970.74

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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.