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Finding the Fourth Proportional to 3,151.96, 4,351.04 and 1,972.76

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Solution

The fourth proportional to 3,151.96, 4,351.04 and 1,972.76 is: 2,723.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,151.96 : 4,351.04 = 1,972.76 : x
  2. Step 2: Convert to fraction form
    3,151.96/4,351.04 = 1,972.76/x
  3. Step 3: Cross multiply
    3,151.96x = 4,351.04 × 1,972.76
  4. Step 4: Simplify right side
    3,151.96x = 8,583,557.67
  5. Step 5: Solve for x
    x = 8,583,557.67/3,151.96
  6. Step 6: Final answer
    x = 2,723.24

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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.