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Finding the Fourth Proportional to 2,118.72, 3,178.39 and 731.68

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Solution

The fourth proportional to 2,118.72, 3,178.39 and 731.68 is: 1,097.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,118.72 : 3,178.39 = 731.68 : x
  2. Step 2: Convert to fraction form
    2,118.72/3,178.39 = 731.68/x
  3. Step 3: Cross multiply
    2,118.72x = 3,178.39 × 731.68
  4. Step 4: Simplify right side
    2,118.72x = 2,325,562.87
  5. Step 5: Solve for x
    x = 2,325,562.87/2,118.72
  6. Step 6: Final answer
    x = 1,097.63

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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.