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Finding the Fourth Proportional to 2,296.73, 3,446.51 and 1,063.91

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Solution

The fourth proportional to 2,296.73, 3,446.51 and 1,063.91 is: 1,596.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,296.73 : 3,446.51 = 1,063.91 : x
  2. Step 2: Convert to fraction form
    2,296.73/3,446.51 = 1,063.91/x
  3. Step 3: Cross multiply
    2,296.73x = 3,446.51 × 1,063.91
  4. Step 4: Simplify right side
    2,296.73x = 3,666,753.90
  5. Step 5: Solve for x
    x = 3,666,753.90/2,296.73
  6. Step 6: Final answer
    x = 1,596.51

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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.