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Finding the Fourth Proportional to 2,659.30, 3,987.78 and 809.98

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Solution

The fourth proportional to 2,659.30, 3,987.78 and 809.98 is: 1,214.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,659.30 : 3,987.78 = 809.98 : x
  2. Step 2: Convert to fraction form
    2,659.30/3,987.78 = 809.98/x
  3. Step 3: Cross multiply
    2,659.30x = 3,987.78 × 809.98
  4. Step 4: Simplify right side
    2,659.30x = 3,230,022.04
  5. Step 5: Solve for x
    x = 3,230,022.04/2,659.30
  6. Step 6: Final answer
    x = 1,214.62

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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.