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Finding the Fourth Proportional to 2,310.59, 3,187.81 and 1,808.25

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Solution

The fourth proportional to 2,310.59, 3,187.81 and 1,808.25 is: 2,494.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,310.59 : 3,187.81 = 1,808.25 : x
  2. Step 2: Convert to fraction form
    2,310.59/3,187.81 = 1,808.25/x
  3. Step 3: Cross multiply
    2,310.59x = 3,187.81 × 1,808.25
  4. Step 4: Simplify right side
    2,310.59x = 5,764,352.91
  5. Step 5: Solve for x
    x = 5,764,352.91/2,310.59
  6. Step 6: Final answer
    x = 2,494.76

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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.