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Finding the Fourth Proportional to 2,198.53, 3,298.09 and 738.10

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Solution

The fourth proportional to 2,198.53, 3,298.09 and 738.10 is: 1,107.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,198.53 : 3,298.09 = 738.10 : x
  2. Step 2: Convert to fraction form
    2,198.53/3,298.09 = 738.10/x
  3. Step 3: Cross multiply
    2,198.53x = 3,298.09 × 738.10
  4. Step 4: Simplify right side
    2,198.53x = 2,434,307.41
  5. Step 5: Solve for x
    x = 2,434,307.41/2,198.53
  6. Step 6: Final answer
    x = 1,107.25

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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.