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Finding the Fourth Proportional to 2,197.76, 3,296.42 and 1,157.34

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Solution

The fourth proportional to 2,197.76, 3,296.42 and 1,157.34 is: 1,735.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,197.76 : 3,296.42 = 1,157.34 : x
  2. Step 2: Convert to fraction form
    2,197.76/3,296.42 = 1,157.34/x
  3. Step 3: Cross multiply
    2,197.76x = 3,296.42 × 1,157.34
  4. Step 4: Simplify right side
    2,197.76x = 3,815,083.29
  5. Step 5: Solve for x
    x = 3,815,083.29/2,197.76
  6. Step 6: Final answer
    x = 1,735.89

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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.