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Finding the Fourth Proportional to 2,197.96, 3,291.61 and 1,209.27

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Solution

The fourth proportional to 2,197.96, 3,291.61 and 1,209.27 is: 1,810.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,197.96 : 3,291.61 = 1,209.27 : x
  2. Step 2: Convert to fraction form
    2,197.96/3,291.61 = 1,209.27/x
  3. Step 3: Cross multiply
    2,197.96x = 3,291.61 × 1,209.27
  4. Step 4: Simplify right side
    2,197.96x = 3,980,445.22
  5. Step 5: Solve for x
    x = 3,980,445.22/2,197.96
  6. Step 6: Final answer
    x = 1,810.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.