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Finding the Fourth Proportional to 2,744.34, 3,787.20 and 1,565.40

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Solution

The fourth proportional to 2,744.34, 3,787.20 and 1,565.40 is: 2,160.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,744.34 : 3,787.20 = 1,565.40 : x
  2. Step 2: Convert to fraction form
    2,744.34/3,787.20 = 1,565.40/x
  3. Step 3: Cross multiply
    2,744.34x = 3,787.20 × 1,565.40
  4. Step 4: Simplify right side
    2,744.34x = 5,928,482.88
  5. Step 5: Solve for x
    x = 5,928,482.88/2,744.34
  6. Step 6: Final answer
    x = 2,160.26

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