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Finding the Fourth Proportional to 2,744.64, 4,092.48 and 2,439.36

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Solution

The fourth proportional to 2,744.64, 4,092.48 and 2,439.36 is: 3,637.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,744.64 : 4,092.48 = 2,439.36 : x
  2. Step 2: Convert to fraction form
    2,744.64/4,092.48 = 2,439.36/x
  3. Step 3: Cross multiply
    2,744.64x = 4,092.48 × 2,439.36
  4. Step 4: Simplify right side
    2,744.64x = 9,983,032.01
  5. Step 5: Solve for x
    x = 9,983,032.01/2,744.64
  6. Step 6: Final answer
    x = 3,637.28

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.