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Finding the Fourth Proportional to 2,787.62, 3,845.30 and 2,317.82

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Solution

The fourth proportional to 2,787.62, 3,845.30 and 2,317.82 is: 3,197.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,787.62 : 3,845.30 = 2,317.82 : x
  2. Step 2: Convert to fraction form
    2,787.62/3,845.30 = 2,317.82/x
  3. Step 3: Cross multiply
    2,787.62x = 3,845.30 × 2,317.82
  4. Step 4: Simplify right side
    2,787.62x = 8,912,713.25
  5. Step 5: Solve for x
    x = 8,912,713.25/2,787.62
  6. Step 6: Final answer
    x = 3,197.25

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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.