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Finding the Fourth Proportional to 2,196.52, 3,031.20 and 1,201.79

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Solution

The fourth proportional to 2,196.52, 3,031.20 and 1,201.79 is: 1,658.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,196.52 : 3,031.20 = 1,201.79 : x
  2. Step 2: Convert to fraction form
    2,196.52/3,031.20 = 1,201.79/x
  3. Step 3: Cross multiply
    2,196.52x = 3,031.20 × 1,201.79
  4. Step 4: Simplify right side
    2,196.52x = 3,642,865.85
  5. Step 5: Solve for x
    x = 3,642,865.85/2,196.52
  6. Step 6: Final answer
    x = 1,658.47

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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.