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Finding the Fourth Proportional to 3,297.26, 4,945.87 and 1,349.46

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Solution

The fourth proportional to 3,297.26, 4,945.87 and 1,349.46 is: 2,024.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,297.26 : 4,945.87 = 1,349.46 : x
  2. Step 2: Convert to fraction form
    3,297.26/4,945.87 = 1,349.46/x
  3. Step 3: Cross multiply
    3,297.26x = 4,945.87 × 1,349.46
  4. Step 4: Simplify right side
    3,297.26x = 6,674,253.73
  5. Step 5: Solve for x
    x = 6,674,253.73/3,297.26
  6. Step 6: Final answer
    x = 2,024.18

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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.