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Finding the Fourth Proportional to 2,270.33, 3,405.98 and 710.27

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Solution

The fourth proportional to 2,270.33, 3,405.98 and 710.27 is: 1,065.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,270.33 : 3,405.98 = 710.27 : x
  2. Step 2: Convert to fraction form
    2,270.33/3,405.98 = 710.27/x
  3. Step 3: Cross multiply
    2,270.33x = 3,405.98 × 710.27
  4. Step 4: Simplify right side
    2,270.33x = 2,419,170.38
  5. Step 5: Solve for x
    x = 2,419,170.38/2,270.33
  6. Step 6: Final answer
    x = 1,065.56

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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.