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Finding the Fourth Proportional to 2,198.63, 3,298.46 and 638.66

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Solution

The fourth proportional to 2,198.63, 3,298.46 and 638.66 is: 958.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,198.63 : 3,298.46 = 638.66 : x
  2. Step 2: Convert to fraction form
    2,198.63/3,298.46 = 638.66/x
  3. Step 3: Cross multiply
    2,198.63x = 3,298.46 × 638.66
  4. Step 4: Simplify right side
    2,198.63x = 2,106,599.52
  5. Step 5: Solve for x
    x = 2,106,599.52/2,198.63
  6. Step 6: Final answer
    x = 958.14

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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.