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Finding the Fourth Proportional to 2,279.40, 3,419.10 and 1,185.90

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Solution

The fourth proportional to 2,279.40, 3,419.10 and 1,185.90 is: 1,778.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,279.40 : 3,419.10 = 1,185.90 : x
  2. Step 2: Convert to fraction form
    2,279.40/3,419.10 = 1,185.90/x
  3. Step 3: Cross multiply
    2,279.40x = 3,419.10 × 1,185.90
  4. Step 4: Simplify right side
    2,279.40x = 4,054,710.69
  5. Step 5: Solve for x
    x = 4,054,710.69/2,279.40
  6. Step 6: Final answer
    x = 1,778.85

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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.