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Finding the Fourth Proportional to 2,332.77, 3,500.36 and 2,198.31

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Solution

The fourth proportional to 2,332.77, 3,500.36 and 2,198.31 is: 3,298.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,332.77 : 3,500.36 = 2,198.31 : x
  2. Step 2: Convert to fraction form
    2,332.77/3,500.36 = 2,198.31/x
  3. Step 3: Cross multiply
    2,332.77x = 3,500.36 × 2,198.31
  4. Step 4: Simplify right side
    2,332.77x = 7,694,876.39
  5. Step 5: Solve for x
    x = 7,694,876.39/2,332.77
  6. Step 6: Final answer
    x = 3,298.60

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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.