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Finding the Fourth Proportional to 1,861.60, 2,568.99 and 1,022.29

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Solution

The fourth proportional to 1,861.60, 2,568.99 and 1,022.29 is: 1,410.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,861.60 : 2,568.99 = 1,022.29 : x
  2. Step 2: Convert to fraction form
    1,861.60/2,568.99 = 1,022.29/x
  3. Step 3: Cross multiply
    1,861.60x = 2,568.99 × 1,022.29
  4. Step 4: Simplify right side
    1,861.60x = 2,626,252.79
  5. Step 5: Solve for x
    x = 2,626,252.79/1,861.60
  6. Step 6: Final answer
    x = 1,410.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.