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Finding the Fourth Proportional to 1,787.89, 2,680.28 and 864.09

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Solution

The fourth proportional to 1,787.89, 2,680.28 and 864.09 is: 1,295.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,787.89 : 2,680.28 = 864.09 : x
  2. Step 2: Convert to fraction form
    1,787.89/2,680.28 = 864.09/x
  3. Step 3: Cross multiply
    1,787.89x = 2,680.28 × 864.09
  4. Step 4: Simplify right side
    1,787.89x = 2,316,003.15
  5. Step 5: Solve for x
    x = 2,316,003.15/1,787.89
  6. Step 6: Final answer
    x = 1,295.38

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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.