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Finding the Fourth Proportional to 2,839.32, 4,254.65 and 1,194.97

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Solution

The fourth proportional to 2,839.32, 4,254.65 and 1,194.97 is: 1,790.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,839.32 : 4,254.65 = 1,194.97 : x
  2. Step 2: Convert to fraction form
    2,839.32/4,254.65 = 1,194.97/x
  3. Step 3: Cross multiply
    2,839.32x = 4,254.65 × 1,194.97
  4. Step 4: Simplify right side
    2,839.32x = 5,084,179.11
  5. Step 5: Solve for x
    x = 5,084,179.11/2,839.32
  6. Step 6: Final answer
    x = 1,790.63

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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.