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Finding the Fourth Proportional to 2,332.64, 3,500.18 and 2,198.18

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Solution

The fourth proportional to 2,332.64, 3,500.18 and 2,198.18 is: 3,298.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,332.64 : 3,500.18 = 2,198.18 : x
  2. Step 2: Convert to fraction form
    2,332.64/3,500.18 = 2,198.18/x
  3. Step 3: Cross multiply
    2,332.64x = 3,500.18 × 2,198.18
  4. Step 4: Simplify right side
    2,332.64x = 7,694,025.67
  5. Step 5: Solve for x
    x = 7,694,025.67/2,332.64
  6. Step 6: Final answer
    x = 3,298.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.