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Finding the Fourth Proportional to 3,161.00, 4,362.38 and 1,763.75

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Solution

The fourth proportional to 3,161.00, 4,362.38 and 1,763.75 is: 2,434.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,161.00 : 4,362.38 = 1,763.75 : x
  2. Step 2: Convert to fraction form
    3,161.00/4,362.38 = 1,763.75/x
  3. Step 3: Cross multiply
    3,161.00x = 4,362.38 × 1,763.75
  4. Step 4: Simplify right side
    3,161.00x = 7,694,117.09
  5. Step 5: Solve for x
    x = 7,694,117.09/3,161.00
  6. Step 6: Final answer
    x = 2,434.08

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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.