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Finding the Fourth Proportional to 2,276.71, 3,142.19 and 1,808.33

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Solution

The fourth proportional to 2,276.71, 3,142.19 and 1,808.33 is: 2,495.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,276.71 : 3,142.19 = 1,808.33 : x
  2. Step 2: Convert to fraction form
    2,276.71/3,142.19 = 1,808.33/x
  3. Step 3: Cross multiply
    2,276.71x = 3,142.19 × 1,808.33
  4. Step 4: Simplify right side
    2,276.71x = 5,682,105.25
  5. Step 5: Solve for x
    x = 5,682,105.25/2,276.71
  6. Step 6: Final answer
    x = 2,495.76

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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.