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Finding the Fourth Proportional to 2,787.90, 4,180.62 and 839.76

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Solution

The fourth proportional to 2,787.90, 4,180.62 and 839.76 is: 1,259.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,787.90 : 4,180.62 = 839.76 : x
  2. Step 2: Convert to fraction form
    2,787.90/4,180.62 = 839.76/x
  3. Step 3: Cross multiply
    2,787.90x = 4,180.62 × 839.76
  4. Step 4: Simplify right side
    2,787.90x = 3,510,717.45
  5. Step 5: Solve for x
    x = 3,510,717.45/2,787.90
  6. Step 6: Final answer
    x = 1,259.27

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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.