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Finding the Fourth Proportional to 2,878.68, 4,311.54 and 2,744.76

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Solution

The fourth proportional to 2,878.68, 4,311.54 and 2,744.76 is: 4,110.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,878.68 : 4,311.54 = 2,744.76 : x
  2. Step 2: Convert to fraction form
    2,878.68/4,311.54 = 2,744.76/x
  3. Step 3: Cross multiply
    2,878.68x = 4,311.54 × 2,744.76
  4. Step 4: Simplify right side
    2,878.68x = 11,834,142.53
  5. Step 5: Solve for x
    x = 11,834,142.53/2,878.68
  6. Step 6: Final answer
    x = 4,110.96

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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.