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Finding the Fourth Proportional to 2,196.54, 3,031.06 and 1,201.84

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Solution

The fourth proportional to 2,196.54, 3,031.06 and 1,201.84 is: 1,658.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,196.54 : 3,031.06 = 1,201.84 : x
  2. Step 2: Convert to fraction form
    2,196.54/3,031.06 = 1,201.84/x
  3. Step 3: Cross multiply
    2,196.54x = 3,031.06 × 1,201.84
  4. Step 4: Simplify right side
    2,196.54x = 3,642,849.15
  5. Step 5: Solve for x
    x = 3,642,849.15/2,196.54
  6. Step 6: Final answer
    x = 1,658.45

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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.