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Finding the Fourth Proportional to 2,196.84, 3,031.60 and 1,202.10

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Solution

The fourth proportional to 2,196.84, 3,031.60 and 1,202.10 is: 1,658.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,196.84 : 3,031.60 = 1,202.10 : x
  2. Step 2: Convert to fraction form
    2,196.84/3,031.60 = 1,202.10/x
  3. Step 3: Cross multiply
    2,196.84x = 3,031.60 × 1,202.10
  4. Step 4: Simplify right side
    2,196.84x = 3,644,286.36
  5. Step 5: Solve for x
    x = 3,644,286.36/2,196.84
  6. Step 6: Final answer
    x = 1,658.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.