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Finding the Fourth Proportional to 3,119.52, 4,306.96 and 1,942.32

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Solution

The fourth proportional to 3,119.52, 4,306.96 and 1,942.32 is: 2,681.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,119.52 : 4,306.96 = 1,942.32 : x
  2. Step 2: Convert to fraction form
    3,119.52/4,306.96 = 1,942.32/x
  3. Step 3: Cross multiply
    3,119.52x = 4,306.96 × 1,942.32
  4. Step 4: Simplify right side
    3,119.52x = 8,365,494.55
  5. Step 5: Solve for x
    x = 8,365,494.55/3,119.52
  6. Step 6: Final answer
    x = 2,681.66

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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.