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Finding the Fourth Proportional to 1,787.91, 2,678.90 and 1,265.32

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Solution

The fourth proportional to 1,787.91, 2,678.90 and 1,265.32 is: 1,895.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,787.91 : 2,678.90 = 1,265.32 : x
  2. Step 2: Convert to fraction form
    1,787.91/2,678.90 = 1,265.32/x
  3. Step 3: Cross multiply
    1,787.91x = 2,678.90 × 1,265.32
  4. Step 4: Simplify right side
    1,787.91x = 3,389,665.75
  5. Step 5: Solve for x
    x = 3,389,665.75/1,787.91
  6. Step 6: Final answer
    x = 1,895.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.