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Finding the Fourth Proportional to 3,163.90, 4,365.84 and 1,837.34

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Solution

The fourth proportional to 3,163.90, 4,365.84 and 1,837.34 is: 2,535.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,163.90 : 4,365.84 = 1,837.34 : x
  2. Step 2: Convert to fraction form
    3,163.90/4,365.84 = 1,837.34/x
  3. Step 3: Cross multiply
    3,163.90x = 4,365.84 × 1,837.34
  4. Step 4: Simplify right side
    3,163.90x = 8,021,532.47
  5. Step 5: Solve for x
    x = 8,021,532.47/3,163.90
  6. Step 6: Final answer
    x = 2,535.33

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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.