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Finding the Fourth Proportional to 2,192.40, 3,288.77 and 731.55

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Solution

The fourth proportional to 2,192.40, 3,288.77 and 731.55 is: 1,097.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,192.40 : 3,288.77 = 731.55 : x
  2. Step 2: Convert to fraction form
    2,192.40/3,288.77 = 731.55/x
  3. Step 3: Cross multiply
    2,192.40x = 3,288.77 × 731.55
  4. Step 4: Simplify right side
    2,192.40x = 2,405,911.11
  5. Step 5: Solve for x
    x = 2,405,911.11/2,192.40
  6. Step 6: Final answer
    x = 1,097.39

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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.