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Finding the Fourth Proportional to 1,861.26, 2,792.29 and 545.12

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Solution

The fourth proportional to 1,861.26, 2,792.29 and 545.12 is: 817.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,861.26 : 2,792.29 = 545.12 : x
  2. Step 2: Convert to fraction form
    1,861.26/2,792.29 = 545.12/x
  3. Step 3: Cross multiply
    1,861.26x = 2,792.29 × 545.12
  4. Step 4: Simplify right side
    1,861.26x = 1,522,116.44
  5. Step 5: Solve for x
    x = 1,522,116.44/1,861.26
  6. Step 6: Final answer
    x = 817.79

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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.