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Finding the Fourth Proportional to 1,861.65, 2,568.99 and 1,199.16

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Solution

The fourth proportional to 1,861.65, 2,568.99 and 1,199.16 is: 1,654.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,861.65 : 2,568.99 = 1,199.16 : x
  2. Step 2: Convert to fraction form
    1,861.65/2,568.99 = 1,199.16/x
  3. Step 3: Cross multiply
    1,861.65x = 2,568.99 × 1,199.16
  4. Step 4: Simplify right side
    1,861.65x = 3,080,630.05
  5. Step 5: Solve for x
    x = 3,080,630.05/1,861.65
  6. Step 6: Final answer
    x = 1,654.78

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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.