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Finding the Fourth Proportional to 2,266.23, 3,399.45 and 622.74

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Solution

The fourth proportional to 2,266.23, 3,399.45 and 622.74 is: 934.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,266.23 : 3,399.45 = 622.74 : x
  2. Step 2: Convert to fraction form
    2,266.23/3,399.45 = 622.74/x
  3. Step 3: Cross multiply
    2,266.23x = 3,399.45 × 622.74
  4. Step 4: Simplify right side
    2,266.23x = 2,116,968.29
  5. Step 5: Solve for x
    x = 2,116,968.29/2,266.23
  6. Step 6: Final answer
    x = 934.14

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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.