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Finding the Fourth Proportional to 2,198.75, 3,298.57 and 737.86

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Solution

The fourth proportional to 2,198.75, 3,298.57 and 737.86 is: 1,106.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,198.75 : 3,298.57 = 737.86 : x
  2. Step 2: Convert to fraction form
    2,198.75/3,298.57 = 737.86/x
  3. Step 3: Cross multiply
    2,198.75x = 3,298.57 × 737.86
  4. Step 4: Simplify right side
    2,198.75x = 2,433,883.10
  5. Step 5: Solve for x
    x = 2,433,883.10/2,198.75
  6. Step 6: Final answer
    x = 1,106.94

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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.