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Finding the Fourth Proportional to 2,079.94, 3,118.99 and 1,105.82

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Solution

The fourth proportional to 2,079.94, 3,118.99 and 1,105.82 is: 1,658.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,079.94 : 3,118.99 = 1,105.82 : x
  2. Step 2: Convert to fraction form
    2,079.94/3,118.99 = 1,105.82/x
  3. Step 3: Cross multiply
    2,079.94x = 3,118.99 × 1,105.82
  4. Step 4: Simplify right side
    2,079.94x = 3,449,041.52
  5. Step 5: Solve for x
    x = 3,449,041.52/2,079.94
  6. Step 6: Final answer
    x = 1,658.24

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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.