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Finding the Fourth Proportional to 2,271.12, 3,406.24 and 605.22

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Solution

The fourth proportional to 2,271.12, 3,406.24 and 605.22 is: 907.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,271.12 : 3,406.24 = 605.22 : x
  2. Step 2: Convert to fraction form
    2,271.12/3,406.24 = 605.22/x
  3. Step 3: Cross multiply
    2,271.12x = 3,406.24 × 605.22
  4. Step 4: Simplify right side
    2,271.12x = 2,061,524.57
  5. Step 5: Solve for x
    x = 2,061,524.57/2,271.12
  6. Step 6: Final answer
    x = 907.71

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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.