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Finding the Fourth Proportional to 3,121.96, 4,669.14 and 2,777.70

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Solution

The fourth proportional to 3,121.96, 4,669.14 and 2,777.70 is: 4,154.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,121.96 : 4,669.14 = 2,777.70 : x
  2. Step 2: Convert to fraction form
    3,121.96/4,669.14 = 2,777.70/x
  3. Step 3: Cross multiply
    3,121.96x = 4,669.14 × 2,777.70
  4. Step 4: Simplify right side
    3,121.96x = 12,969,470.18
  5. Step 5: Solve for x
    x = 12,969,470.18/3,121.96
  6. Step 6: Final answer
    x = 4,154.27

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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.