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Finding the Fourth Proportional to 2,744.33, 3,787.14 and 1,565.42

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Solution

The fourth proportional to 2,744.33, 3,787.14 and 1,565.42 is: 2,160.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,744.33 : 3,787.14 = 1,565.42 : x
  2. Step 2: Convert to fraction form
    2,744.33/3,787.14 = 1,565.42/x
  3. Step 3: Cross multiply
    2,744.33x = 3,787.14 × 1,565.42
  4. Step 4: Simplify right side
    2,744.33x = 5,928,464.70
  5. Step 5: Solve for x
    x = 5,928,464.70/2,744.33
  6. Step 6: Final answer
    x = 2,160.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.