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Finding the Fourth Proportional to 2,787.45, 4,180.50 and 938.09

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Solution

The fourth proportional to 2,787.45, 4,180.50 and 938.09 is: 1,406.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,787.45 : 4,180.50 = 938.09 : x
  2. Step 2: Convert to fraction form
    2,787.45/4,180.50 = 938.09/x
  3. Step 3: Cross multiply
    2,787.45x = 4,180.50 × 938.09
  4. Step 4: Simplify right side
    2,787.45x = 3,921,664.34
  5. Step 5: Solve for x
    x = 3,921,664.34/2,787.45
  6. Step 6: Final answer
    x = 1,406.90

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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.