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Finding the Fourth Proportional to 2,787.94, 4,177.32 and 2,170.09

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Solution

The fourth proportional to 2,787.94, 4,177.32 and 2,170.09 is: 3,251.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,787.94 : 4,177.32 = 2,170.09 : x
  2. Step 2: Convert to fraction form
    2,787.94/4,177.32 = 2,170.09/x
  3. Step 3: Cross multiply
    2,787.94x = 4,177.32 × 2,170.09
  4. Step 4: Simplify right side
    2,787.94x = 9,065,160.36
  5. Step 5: Solve for x
    x = 9,065,160.36/2,787.94
  6. Step 6: Final answer
    x = 3,251.56

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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.