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Finding the Fourth Proportional to 3,161.57, 4,363.07 and 1,835.19

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Solution

The fourth proportional to 3,161.57, 4,363.07 and 1,835.19 is: 2,532.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,161.57 : 4,363.07 = 1,835.19 : x
  2. Step 2: Convert to fraction form
    3,161.57/4,363.07 = 1,835.19/x
  3. Step 3: Cross multiply
    3,161.57x = 4,363.07 × 1,835.19
  4. Step 4: Simplify right side
    3,161.57x = 8,007,053.26
  5. Step 5: Solve for x
    x = 8,007,053.26/3,161.57
  6. Step 6: Final answer
    x = 2,532.62

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