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Finding the Fourth Proportional to 2,196.56, 3,031.22 and 1,201.88

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Solution

The fourth proportional to 2,196.56, 3,031.22 and 1,201.88 is: 1,658.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,196.56 : 3,031.22 = 1,201.88 : x
  2. Step 2: Convert to fraction form
    2,196.56/3,031.22 = 1,201.88/x
  3. Step 3: Cross multiply
    2,196.56x = 3,031.22 × 1,201.88
  4. Step 4: Simplify right side
    2,196.56x = 3,643,162.69
  5. Step 5: Solve for x
    x = 3,643,162.69/2,196.56
  6. Step 6: Final answer
    x = 1,658.58

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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.