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Finding the Fourth Proportional to 1,394.22, 2,081.54 and 1,151.22

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Solution

The fourth proportional to 1,394.22, 2,081.54 and 1,151.22 is: 1,718.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,394.22 : 2,081.54 = 1,151.22 : x
  2. Step 2: Convert to fraction form
    1,394.22/2,081.54 = 1,151.22/x
  3. Step 3: Cross multiply
    1,394.22x = 2,081.54 × 1,151.22
  4. Step 4: Simplify right side
    1,394.22x = 2,396,304.72
  5. Step 5: Solve for x
    x = 2,396,304.72/1,394.22
  6. Step 6: Final answer
    x = 1,718.74

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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.