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Finding the Fourth Proportional to 3,249.53, 4,866.70 and 1,600.77

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Solution

The fourth proportional to 3,249.53, 4,866.70 and 1,600.77 is: 2,397.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,249.53 : 4,866.70 = 1,600.77 : x
  2. Step 2: Convert to fraction form
    3,249.53/4,866.70 = 1,600.77/x
  3. Step 3: Cross multiply
    3,249.53x = 4,866.70 × 1,600.77
  4. Step 4: Simplify right side
    3,249.53x = 7,790,467.36
  5. Step 5: Solve for x
    x = 7,790,467.36/3,249.53
  6. Step 6: Final answer
    x = 2,397.41

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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.