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Finding the Fourth Proportional to 2,054.42, 3,081.72 and 738.17

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Solution

The fourth proportional to 2,054.42, 3,081.72 and 738.17 is: 1,107.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,054.42 : 3,081.72 = 738.17 : x
  2. Step 2: Convert to fraction form
    2,054.42/3,081.72 = 738.17/x
  3. Step 3: Cross multiply
    2,054.42x = 3,081.72 × 738.17
  4. Step 4: Simplify right side
    2,054.42x = 2,274,833.25
  5. Step 5: Solve for x
    x = 2,274,833.25/2,054.42
  6. Step 6: Final answer
    x = 1,107.29

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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.