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Finding the Fourth Proportional to 2,118.93, 3,177.61 and 731.89

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Solution

The fourth proportional to 2,118.93, 3,177.61 and 731.89 is: 1,097.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,118.93 : 3,177.61 = 731.89 : x
  2. Step 2: Convert to fraction form
    2,118.93/3,177.61 = 731.89/x
  3. Step 3: Cross multiply
    2,118.93x = 3,177.61 × 731.89
  4. Step 4: Simplify right side
    2,118.93x = 2,325,660.98
  5. Step 5: Solve for x
    x = 2,325,660.98/2,118.93
  6. Step 6: Final answer
    x = 1,097.56

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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.