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Finding the Fourth Proportional to 2,266.30, 3,398.10 and 804.79

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Solution

The fourth proportional to 2,266.30, 3,398.10 and 804.79 is: 1,206.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,266.30 : 3,398.10 = 804.79 : x
  2. Step 2: Convert to fraction form
    2,266.30/3,398.10 = 804.79/x
  3. Step 3: Cross multiply
    2,266.30x = 3,398.10 × 804.79
  4. Step 4: Simplify right side
    2,266.30x = 2,734,756.90
  5. Step 5: Solve for x
    x = 2,734,756.90/2,266.30
  6. Step 6: Final answer
    x = 1,206.71

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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.