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Finding the Fourth Proportional to 2,279.90, 3,422.02 and 1,185.06

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Solution

The fourth proportional to 2,279.90, 3,422.02 and 1,185.06 is: 1,778.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,279.90 : 3,422.02 = 1,185.06 : x
  2. Step 2: Convert to fraction form
    2,279.90/3,422.02 = 1,185.06/x
  3. Step 3: Cross multiply
    2,279.90x = 3,422.02 × 1,185.06
  4. Step 4: Simplify right side
    2,279.90x = 4,055,299.02
  5. Step 5: Solve for x
    x = 4,055,299.02/2,279.90
  6. Step 6: Final answer
    x = 1,778.72

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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.