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Finding the Fourth Proportional to 2,787.66, 3,847.46 and 2,123.28

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Solution

The fourth proportional to 2,787.66, 3,847.46 and 2,123.28 is: 2,930.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,787.66 : 3,847.46 = 2,123.28 : x
  2. Step 2: Convert to fraction form
    2,787.66/3,847.46 = 2,123.28/x
  3. Step 3: Cross multiply
    2,787.66x = 3,847.46 × 2,123.28
  4. Step 4: Simplify right side
    2,787.66x = 8,169,224.25
  5. Step 5: Solve for x
    x = 8,169,224.25/2,787.66
  6. Step 6: Final answer
    x = 2,930.50

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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.