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Finding the Fourth Proportional to 2,509.88, 3,763.54 and 843.43

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Solution

The fourth proportional to 2,509.88, 3,763.54 and 843.43 is: 1,264.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,509.88 : 3,763.54 = 843.43 : x
  2. Step 2: Convert to fraction form
    2,509.88/3,763.54 = 843.43/x
  3. Step 3: Cross multiply
    2,509.88x = 3,763.54 × 843.43
  4. Step 4: Simplify right side
    2,509.88x = 3,174,278.87
  5. Step 5: Solve for x
    x = 3,174,278.87/2,509.88
  6. Step 6: Final answer
    x = 1,264.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.