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Finding the Fourth Proportional to 2,197.40, 3,032.80 and 1,253.22

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Solution

The fourth proportional to 2,197.40, 3,032.80 and 1,253.22 is: 1,729.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,197.40 : 3,032.80 = 1,253.22 : x
  2. Step 2: Convert to fraction form
    2,197.40/3,032.80 = 1,253.22/x
  3. Step 3: Cross multiply
    2,197.40x = 3,032.80 × 1,253.22
  4. Step 4: Simplify right side
    2,197.40x = 3,800,765.62
  5. Step 5: Solve for x
    x = 3,800,765.62/2,197.40
  6. Step 6: Final answer
    x = 1,729.66

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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.