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Finding the Fourth Proportional to 2,659.35, 3,987.72 and 810.12

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Solution

The fourth proportional to 2,659.35, 3,987.72 and 810.12 is: 1,214.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,659.35 : 3,987.72 = 810.12 : x
  2. Step 2: Convert to fraction form
    2,659.35/3,987.72 = 810.12/x
  3. Step 3: Cross multiply
    2,659.35x = 3,987.72 × 810.12
  4. Step 4: Simplify right side
    2,659.35x = 3,230,531.73
  5. Step 5: Solve for x
    x = 3,230,531.73/2,659.35
  6. Step 6: Final answer
    x = 1,214.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.