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Finding the Fourth Proportional to 3,450.66, 5,175.90 and 1,341.69

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Solution

The fourth proportional to 3,450.66, 5,175.90 and 1,341.69 is: 2,012.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,450.66 : 5,175.90 = 1,341.69 : x
  2. Step 2: Convert to fraction form
    3,450.66/5,175.90 = 1,341.69/x
  3. Step 3: Cross multiply
    3,450.66x = 5,175.90 × 1,341.69
  4. Step 4: Simplify right side
    3,450.66x = 6,944,453.27
  5. Step 5: Solve for x
    x = 6,944,453.27/3,450.66
  6. Step 6: Final answer
    x = 2,012.50

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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.