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Finding the Fourth Proportional to 1,861.90, 2,568.99 and 1,162.78

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Solution

The fourth proportional to 1,861.90, 2,568.99 and 1,162.78 is: 1,604.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,861.90 : 2,568.99 = 1,162.78 : x
  2. Step 2: Convert to fraction form
    1,861.90/2,568.99 = 1,162.78/x
  3. Step 3: Cross multiply
    1,861.90x = 2,568.99 × 1,162.78
  4. Step 4: Simplify right side
    1,861.90x = 2,987,170.19
  5. Step 5: Solve for x
    x = 2,987,170.19/1,861.90
  6. Step 6: Final answer
    x = 1,604.37

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Why These Related Problems?

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