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Finding the Fourth Proportional to 2,079.15, 3,118.64 and 519.17

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Solution

The fourth proportional to 2,079.15, 3,118.64 and 519.17 is: 778.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,079.15 : 3,118.64 = 519.17 : x
  2. Step 2: Convert to fraction form
    2,079.15/3,118.64 = 519.17/x
  3. Step 3: Cross multiply
    2,079.15x = 3,118.64 × 519.17
  4. Step 4: Simplify right side
    2,079.15x = 1,619,086.14
  5. Step 5: Solve for x
    x = 1,619,086.14/2,079.15
  6. Step 6: Final answer
    x = 778.73

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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.