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Finding the Fourth Proportional to 3,161.67, 4,363.38 and 1,902.93

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Solution

The fourth proportional to 3,161.67, 4,363.38 and 1,902.93 is: 2,626.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,161.67 : 4,363.38 = 1,902.93 : x
  2. Step 2: Convert to fraction form
    3,161.67/4,363.38 = 1,902.93/x
  3. Step 3: Cross multiply
    3,161.67x = 4,363.38 × 1,902.93
  4. Step 4: Simplify right side
    3,161.67x = 8,303,206.70
  5. Step 5: Solve for x
    x = 8,303,206.70/3,161.67
  6. Step 6: Final answer
    x = 2,626.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.