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Finding the Fourth Proportional to 2,787.98, 4,182.61 and 939.05

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Solution

The fourth proportional to 2,787.98, 4,182.61 and 939.05 is: 1,408.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,787.98 : 4,182.61 = 939.05 : x
  2. Step 2: Convert to fraction form
    2,787.98/4,182.61 = 939.05/x
  3. Step 3: Cross multiply
    2,787.98x = 4,182.61 × 939.05
  4. Step 4: Simplify right side
    2,787.98x = 3,927,679.92
  5. Step 5: Solve for x
    x = 3,927,679.92/2,787.98
  6. Step 6: Final answer
    x = 1,408.79

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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.