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Finding the Fourth Proportional to 4,294.20, 6,440.22 and 1,697.16

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Solution

The fourth proportional to 4,294.20, 6,440.22 and 1,697.16 is: 2,545.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,294.20 : 6,440.22 = 1,697.16 : x
  2. Step 2: Convert to fraction form
    4,294.20/6,440.22 = 1,697.16/x
  3. Step 3: Cross multiply
    4,294.20x = 6,440.22 × 1,697.16
  4. Step 4: Simplify right side
    4,294.20x = 10,930,083.78
  5. Step 5: Solve for x
    x = 10,930,083.78/4,294.20
  6. Step 6: Final answer
    x = 2,545.31

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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.