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Finding the Fourth Proportional to 2,514.86, 3,767.26 and 1,995.74

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Solution

The fourth proportional to 2,514.86, 3,767.26 and 1,995.74 is: 2,989.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,514.86 : 3,767.26 = 1,995.74 : x
  2. Step 2: Convert to fraction form
    2,514.86/3,767.26 = 1,995.74/x
  3. Step 3: Cross multiply
    2,514.86x = 3,767.26 × 1,995.74
  4. Step 4: Simplify right side
    2,514.86x = 7,518,471.47
  5. Step 5: Solve for x
    x = 7,518,471.47/2,514.86
  6. Step 6: Final answer
    x = 2,989.62

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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.