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Finding the Fourth Proportional to 2,659.82, 3,988.52 and 811.16

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Solution

The fourth proportional to 2,659.82, 3,988.52 and 811.16 is: 1,216.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,659.82 : 3,988.52 = 811.16 : x
  2. Step 2: Convert to fraction form
    2,659.82/3,988.52 = 811.16/x
  3. Step 3: Cross multiply
    2,659.82x = 3,988.52 × 811.16
  4. Step 4: Simplify right side
    2,659.82x = 3,235,327.88
  5. Step 5: Solve for x
    x = 3,235,327.88/2,659.82
  6. Step 6: Final answer
    x = 1,216.37

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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.