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Finding the Fourth Proportional to 2,509.27, 3,764.36 and 843.23

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Solution

The fourth proportional to 2,509.27, 3,764.36 and 843.23 is: 1,264.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,509.27 : 3,764.36 = 843.23 : x
  2. Step 2: Convert to fraction form
    2,509.27/3,764.36 = 843.23/x
  3. Step 3: Cross multiply
    2,509.27x = 3,764.36 × 843.23
  4. Step 4: Simplify right side
    2,509.27x = 3,174,204.57
  5. Step 5: Solve for x
    x = 3,174,204.57/2,509.27
  6. Step 6: Final answer
    x = 1,264.99

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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.