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Finding the Fourth Proportional to 2,744.24, 3,787.02 and 1,565.33

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Solution

The fourth proportional to 2,744.24, 3,787.02 and 1,565.33 is: 2,160.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,744.24 : 3,787.02 = 1,565.33 : x
  2. Step 2: Convert to fraction form
    2,744.24/3,787.02 = 1,565.33/x
  3. Step 3: Cross multiply
    2,744.24x = 3,787.02 × 1,565.33
  4. Step 4: Simplify right side
    2,744.24x = 5,927,947.28
  5. Step 5: Solve for x
    x = 5,927,947.28/2,744.24
  6. Step 6: Final answer
    x = 2,160.14

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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.