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Finding the Fourth Proportional to 1,861.41, 2,568.68 and 1,022.05

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Solution

The fourth proportional to 1,861.41, 2,568.68 and 1,022.05 is: 1,410.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,861.41 : 2,568.68 = 1,022.05 : x
  2. Step 2: Convert to fraction form
    1,861.41/2,568.68 = 1,022.05/x
  3. Step 3: Cross multiply
    1,861.41x = 2,568.68 × 1,022.05
  4. Step 4: Simplify right side
    1,861.41x = 2,625,321.33
  5. Step 5: Solve for x
    x = 2,625,321.33/1,861.41
  6. Step 6: Final answer
    x = 1,410.39

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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.