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Finding the Fourth Proportional to 2,086.66, 3,131.21 and 788.23

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Solution

The fourth proportional to 2,086.66, 3,131.21 and 788.23 is: 1,182.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,086.66 : 3,131.21 = 788.23 : x
  2. Step 2: Convert to fraction form
    2,086.66/3,131.21 = 788.23/x
  3. Step 3: Cross multiply
    2,086.66x = 3,131.21 × 788.23
  4. Step 4: Simplify right side
    2,086.66x = 2,468,115.11
  5. Step 5: Solve for x
    x = 2,468,115.11/2,086.66
  6. Step 6: Final answer
    x = 1,182.81

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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.