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Finding the Fourth Proportional to 2,787.23, 4,181.49 and 938.30

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Solution

The fourth proportional to 2,787.23, 4,181.49 and 938.30 is: 1,407.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,787.23 : 4,181.49 = 938.30 : x
  2. Step 2: Convert to fraction form
    2,787.23/4,181.49 = 938.30/x
  3. Step 3: Cross multiply
    2,787.23x = 4,181.49 × 938.30
  4. Step 4: Simplify right side
    2,787.23x = 3,923,466.47
  5. Step 5: Solve for x
    x = 3,923,466.47/2,787.23
  6. Step 6: Final answer
    x = 1,407.66

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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.