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Finding the Fourth Proportional to 2,781.12, 3,834.96 and 2,343.84

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Solution

The fourth proportional to 2,781.12, 3,834.96 and 2,343.84 is: 3,231.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,781.12 : 3,834.96 = 2,343.84 : x
  2. Step 2: Convert to fraction form
    2,781.12/3,834.96 = 2,343.84/x
  3. Step 3: Cross multiply
    2,781.12x = 3,834.96 × 2,343.84
  4. Step 4: Simplify right side
    2,781.12x = 8,988,532.65
  5. Step 5: Solve for x
    x = 8,988,532.65/2,781.12
  6. Step 6: Final answer
    x = 3,231.98

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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.