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Finding the Fourth Proportional to 2,296.49, 3,440.30 and 1,882.26

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Solution

The fourth proportional to 2,296.49, 3,440.30 and 1,882.26 is: 2,819.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,296.49 : 3,440.30 = 1,882.26 : x
  2. Step 2: Convert to fraction form
    2,296.49/3,440.30 = 1,882.26/x
  3. Step 3: Cross multiply
    2,296.49x = 3,440.30 × 1,882.26
  4. Step 4: Simplify right side
    2,296.49x = 6,475,529.67
  5. Step 5: Solve for x
    x = 6,475,529.67/2,296.49
  6. Step 6: Final answer
    x = 2,819.76

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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.