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Finding the Fourth Proportional to 2,744.25, 3,787.16 and 1,502.25

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Solution

The fourth proportional to 2,744.25, 3,787.16 and 1,502.25 is: 2,073.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,744.25 : 3,787.16 = 1,502.25 : x
  2. Step 2: Convert to fraction form
    2,744.25/3,787.16 = 1,502.25/x
  3. Step 3: Cross multiply
    2,744.25x = 3,787.16 × 1,502.25
  4. Step 4: Simplify right side
    2,744.25x = 5,689,261.11
  5. Step 5: Solve for x
    x = 5,689,261.11/2,744.25
  6. Step 6: Final answer
    x = 2,073.16

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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.