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Finding the Fourth Proportional to 2,266.24, 3,399.32 and 622.78

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Solution

The fourth proportional to 2,266.24, 3,399.32 and 622.78 is: 934.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,266.24 : 3,399.32 = 622.78 : x
  2. Step 2: Convert to fraction form
    2,266.24/3,399.32 = 622.78/x
  3. Step 3: Cross multiply
    2,266.24x = 3,399.32 × 622.78
  4. Step 4: Simplify right side
    2,266.24x = 2,117,028.51
  5. Step 5: Solve for x
    x = 2,117,028.51/2,266.24
  6. Step 6: Final answer
    x = 934.16

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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.