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Finding the Fourth Proportional to 2,192.60, 3,289.06 and 731.78

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Solution

The fourth proportional to 2,192.60, 3,289.06 and 731.78 is: 1,097.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,192.60 : 3,289.06 = 731.78 : x
  2. Step 2: Convert to fraction form
    2,192.60/3,289.06 = 731.78/x
  3. Step 3: Cross multiply
    2,192.60x = 3,289.06 × 731.78
  4. Step 4: Simplify right side
    2,192.60x = 2,406,868.33
  5. Step 5: Solve for x
    x = 2,406,868.33/2,192.60
  6. Step 6: Final answer
    x = 1,097.72

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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.