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Finding the Fourth Proportional to 2,039.97, 3,054.15 and 1,344.54

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Solution

The fourth proportional to 2,039.97, 3,054.15 and 1,344.54 is: 2,012.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,039.97 : 3,054.15 = 1,344.54 : x
  2. Step 2: Convert to fraction form
    2,039.97/3,054.15 = 1,344.54/x
  3. Step 3: Cross multiply
    2,039.97x = 3,054.15 × 1,344.54
  4. Step 4: Simplify right side
    2,039.97x = 4,106,426.84
  5. Step 5: Solve for x
    x = 4,106,426.84/2,039.97
  6. Step 6: Final answer
    x = 2,012.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.