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Finding the Fourth Proportional to 2,296.70, 3,443.20 and 815.10

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Solution

The fourth proportional to 2,296.70, 3,443.20 and 815.10 is: 1,221.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,296.70 : 3,443.20 = 815.10 : x
  2. Step 2: Convert to fraction form
    2,296.70/3,443.20 = 815.10/x
  3. Step 3: Cross multiply
    2,296.70x = 3,443.20 × 815.10
  4. Step 4: Simplify right side
    2,296.70x = 2,806,552.32
  5. Step 5: Solve for x
    x = 2,806,552.32/2,296.70
  6. Step 6: Final answer
    x = 1,221.99

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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.