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Finding the Fourth Proportional to 1,861.30, 2,792.22 and 563.14

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Solution

The fourth proportional to 1,861.30, 2,792.22 and 563.14 is: 844.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,861.30 : 2,792.22 = 563.14 : x
  2. Step 2: Convert to fraction form
    1,861.30/2,792.22 = 563.14/x
  3. Step 3: Cross multiply
    1,861.30x = 2,792.22 × 563.14
  4. Step 4: Simplify right side
    1,861.30x = 1,572,410.77
  5. Step 5: Solve for x
    x = 1,572,410.77/1,861.30
  6. Step 6: Final answer
    x = 844.79

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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.