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Finding the Fourth Proportional to 2,508.91, 3,763.13 and 1,967.63

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Solution

The fourth proportional to 2,508.91, 3,763.13 and 1,967.63 is: 2,951.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,508.91 : 3,763.13 = 1,967.63 : x
  2. Step 2: Convert to fraction form
    2,508.91/3,763.13 = 1,967.63/x
  3. Step 3: Cross multiply
    2,508.91x = 3,763.13 × 1,967.63
  4. Step 4: Simplify right side
    2,508.91x = 7,404,418.83
  5. Step 5: Solve for x
    x = 7,404,418.83/2,508.91
  6. Step 6: Final answer
    x = 2,951.25

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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.