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Finding the Fourth Proportional to 2,196.47, 3,031.20 and 1,201.82

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Solution

The fourth proportional to 2,196.47, 3,031.20 and 1,201.82 is: 1,658.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,196.47 : 3,031.20 = 1,201.82 : x
  2. Step 2: Convert to fraction form
    2,196.47/3,031.20 = 1,201.82/x
  3. Step 3: Cross multiply
    2,196.47x = 3,031.20 × 1,201.82
  4. Step 4: Simplify right side
    2,196.47x = 3,642,956.78
  5. Step 5: Solve for x
    x = 3,642,956.78/2,196.47
  6. Step 6: Final answer
    x = 1,658.55

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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.