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Finding the Fourth Proportional to 2,441.43, 3,661.24 and 775.37

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Solution

The fourth proportional to 2,441.43, 3,661.24 and 775.37 is: 1,162.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,441.43 : 3,661.24 = 775.37 : x
  2. Step 2: Convert to fraction form
    2,441.43/3,661.24 = 775.37/x
  3. Step 3: Cross multiply
    2,441.43x = 3,661.24 × 775.37
  4. Step 4: Simplify right side
    2,441.43x = 2,838,815.66
  5. Step 5: Solve for x
    x = 2,838,815.66/2,441.43
  6. Step 6: Final answer
    x = 1,162.77

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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.