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Finding the Fourth Proportional to 1,339.12, 1,844.88 and 1,105.84

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Solution

The fourth proportional to 1,339.12, 1,844.88 and 1,105.84 is: 1,523.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,339.12 : 1,844.88 = 1,105.84 : x
  2. Step 2: Convert to fraction form
    1,339.12/1,844.88 = 1,105.84/x
  3. Step 3: Cross multiply
    1,339.12x = 1,844.88 × 1,105.84
  4. Step 4: Simplify right side
    1,339.12x = 2,040,142.10
  5. Step 5: Solve for x
    x = 2,040,142.10/1,339.12
  6. Step 6: Final answer
    x = 1,523.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.