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Finding the Fourth Proportional to 2,508.30, 3,763.80 and 2,144.75

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Solution

The fourth proportional to 2,508.30, 3,763.80 and 2,144.75 is: 3,218.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,508.30 : 3,763.80 = 2,144.75 : x
  2. Step 2: Convert to fraction form
    2,508.30/3,763.80 = 2,144.75/x
  3. Step 3: Cross multiply
    2,508.30x = 3,763.80 × 2,144.75
  4. Step 4: Simplify right side
    2,508.30x = 8,072,391.23
  5. Step 5: Solve for x
    x = 8,072,391.23/2,508.30
  6. Step 6: Final answer
    x = 3,218.27

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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.