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Finding the Fourth Proportional to 2,581.68, 3,565.62 and 1,999.26

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Solution

The fourth proportional to 2,581.68, 3,565.62 and 1,999.26 is: 2,761.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,581.68 : 3,565.62 = 1,999.26 : x
  2. Step 2: Convert to fraction form
    2,581.68/3,565.62 = 1,999.26/x
  3. Step 3: Cross multiply
    2,581.68x = 3,565.62 × 1,999.26
  4. Step 4: Simplify right side
    2,581.68x = 7,128,601.44
  5. Step 5: Solve for x
    x = 7,128,601.44/2,581.68
  6. Step 6: Final answer
    x = 2,761.23

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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.