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Finding the Fourth Proportional to 2,197.02, 3,294.09 and 1,042.14

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Solution

The fourth proportional to 2,197.02, 3,294.09 and 1,042.14 is: 1,562.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,197.02 : 3,294.09 = 1,042.14 : x
  2. Step 2: Convert to fraction form
    2,197.02/3,294.09 = 1,042.14/x
  3. Step 3: Cross multiply
    2,197.02x = 3,294.09 × 1,042.14
  4. Step 4: Simplify right side
    2,197.02x = 3,432,902.95
  5. Step 5: Solve for x
    x = 3,432,902.95/2,197.02
  6. Step 6: Final answer
    x = 1,562.53

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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.