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Finding the Fourth Proportional to 2,196.64, 3,031.34 and 1,201.92

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Solution

The fourth proportional to 2,196.64, 3,031.34 and 1,201.92 is: 1,658.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,196.64 : 3,031.34 = 1,201.92 : x
  2. Step 2: Convert to fraction form
    2,196.64/3,031.34 = 1,201.92/x
  3. Step 3: Cross multiply
    2,196.64x = 3,031.34 × 1,201.92
  4. Step 4: Simplify right side
    2,196.64x = 3,643,428.17
  5. Step 5: Solve for x
    x = 3,643,428.17/2,196.64
  6. Step 6: Final answer
    x = 1,658.64

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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.