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Finding the Fourth Proportional to 2,196.94, 3,031.71 and 1,202.19

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Solution

The fourth proportional to 2,196.94, 3,031.71 and 1,202.19 is: 1,658.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,196.94 : 3,031.71 = 1,202.19 : x
  2. Step 2: Convert to fraction form
    2,196.94/3,031.71 = 1,202.19/x
  3. Step 3: Cross multiply
    2,196.94x = 3,031.71 × 1,202.19
  4. Step 4: Simplify right side
    2,196.94x = 3,644,691.44
  5. Step 5: Solve for x
    x = 3,644,691.44/2,196.94
  6. Step 6: Final answer
    x = 1,658.99

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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.