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Finding the Fourth Proportional to 2,198.92, 3,298.35 and 883.25

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Solution

The fourth proportional to 2,198.92, 3,298.35 and 883.25 is: 1,324.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,198.92 : 3,298.35 = 883.25 : x
  2. Step 2: Convert to fraction form
    2,198.92/3,298.35 = 883.25/x
  3. Step 3: Cross multiply
    2,198.92x = 3,298.35 × 883.25
  4. Step 4: Simplify right side
    2,198.92x = 2,913,263.22
  5. Step 5: Solve for x
    x = 2,913,263.22/2,198.92
  6. Step 6: Final answer
    x = 1,324.86

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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.