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Finding the Fourth Proportional to 4,162.90, 6,244.23 and 1,697.11

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Solution

The fourth proportional to 4,162.90, 6,244.23 and 1,697.11 is: 2,545.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,162.90 : 6,244.23 = 1,697.11 : x
  2. Step 2: Convert to fraction form
    4,162.90/6,244.23 = 1,697.11/x
  3. Step 3: Cross multiply
    4,162.90x = 6,244.23 × 1,697.11
  4. Step 4: Simplify right side
    4,162.90x = 10,597,145.18
  5. Step 5: Solve for x
    x = 10,597,145.18/4,162.90
  6. Step 6: Final answer
    x = 2,545.62

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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.