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Finding the Fourth Proportional to 2,190.85, 3,286.80 and 730.02

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Solution

The fourth proportional to 2,190.85, 3,286.80 and 730.02 is: 1,095.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,190.85 : 3,286.80 = 730.02 : x
  2. Step 2: Convert to fraction form
    2,190.85/3,286.80 = 730.02/x
  3. Step 3: Cross multiply
    2,190.85x = 3,286.80 × 730.02
  4. Step 4: Simplify right side
    2,190.85x = 2,399,429.74
  5. Step 5: Solve for x
    x = 2,399,429.74/2,190.85
  6. Step 6: Final answer
    x = 1,095.20

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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.