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Finding the Fourth Proportional to 2,196.76, 3,031.54 and 1,202.08

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Solution

The fourth proportional to 2,196.76, 3,031.54 and 1,202.08 is: 1,658.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,196.76 : 3,031.54 = 1,202.08 : x
  2. Step 2: Convert to fraction form
    2,196.76/3,031.54 = 1,202.08/x
  3. Step 3: Cross multiply
    2,196.76x = 3,031.54 × 1,202.08
  4. Step 4: Simplify right side
    2,196.76x = 3,644,138.45
  5. Step 5: Solve for x
    x = 3,644,138.45/2,196.76
  6. Step 6: Final answer
    x = 1,658.87

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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.