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Finding the Fourth Proportional to 2,243.77, 3,366.19 and 704.77

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Solution

The fourth proportional to 2,243.77, 3,366.19 and 704.77 is: 1,057.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,243.77 : 3,366.19 = 704.77 : x
  2. Step 2: Convert to fraction form
    2,243.77/3,366.19 = 704.77/x
  3. Step 3: Cross multiply
    2,243.77x = 3,366.19 × 704.77
  4. Step 4: Simplify right side
    2,243.77x = 2,372,379.55
  5. Step 5: Solve for x
    x = 2,372,379.55/2,243.77
  6. Step 6: Final answer
    x = 1,057.32

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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.