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Finding the Fourth Proportional to 2,270.29, 3,405.03 and 626.43

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Solution

The fourth proportional to 2,270.29, 3,405.03 and 626.43 is: 939.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,270.29 : 3,405.03 = 626.43 : x
  2. Step 2: Convert to fraction form
    2,270.29/3,405.03 = 626.43/x
  3. Step 3: Cross multiply
    2,270.29x = 3,405.03 × 626.43
  4. Step 4: Simplify right side
    2,270.29x = 2,133,012.94
  5. Step 5: Solve for x
    x = 2,133,012.94/2,270.29
  6. Step 6: Final answer
    x = 939.53

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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.