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Finding the Fourth Proportional to 2,296.73, 3,447.10 and 1,311.52

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Solution

The fourth proportional to 2,296.73, 3,447.10 and 1,311.52 is: 1,968.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,296.73 : 3,447.10 = 1,311.52 : x
  2. Step 2: Convert to fraction form
    2,296.73/3,447.10 = 1,311.52/x
  3. Step 3: Cross multiply
    2,296.73x = 3,447.10 × 1,311.52
  4. Step 4: Simplify right side
    2,296.73x = 4,520,937.31
  5. Step 5: Solve for x
    x = 4,520,937.31/2,296.73
  6. Step 6: Final answer
    x = 1,968.42

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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.