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Finding the Fourth Proportional to 2,344.40, 3,499.30 and 2,198.48

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Solution

The fourth proportional to 2,344.40, 3,499.30 and 2,198.48 is: 3,281.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,344.40 : 3,499.30 = 2,198.48 : x
  2. Step 2: Convert to fraction form
    2,344.40/3,499.30 = 2,198.48/x
  3. Step 3: Cross multiply
    2,344.40x = 3,499.30 × 2,198.48
  4. Step 4: Simplify right side
    2,344.40x = 7,693,141.06
  5. Step 5: Solve for x
    x = 7,693,141.06/2,344.40
  6. Step 6: Final answer
    x = 3,281.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.