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Finding the Fourth Proportional to 3,180.96, 4,744.89 and 2,787.30

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Solution

The fourth proportional to 3,180.96, 4,744.89 and 2,787.30 is: 4,157.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,180.96 : 4,744.89 = 2,787.30 : x
  2. Step 2: Convert to fraction form
    3,180.96/4,744.89 = 2,787.30/x
  3. Step 3: Cross multiply
    3,180.96x = 4,744.89 × 2,787.30
  4. Step 4: Simplify right side
    3,180.96x = 13,225,431.90
  5. Step 5: Solve for x
    x = 13,225,431.90/3,180.96
  6. Step 6: Final answer
    x = 4,157.69

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.