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Finding the Fourth Proportional to 3,163.06, 4,744.80 and 1,314.33

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Solution

The fourth proportional to 3,163.06, 4,744.80 and 1,314.33 is: 1,971.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,163.06 : 4,744.80 = 1,314.33 : x
  2. Step 2: Convert to fraction form
    3,163.06/4,744.80 = 1,314.33/x
  3. Step 3: Cross multiply
    3,163.06x = 4,744.80 × 1,314.33
  4. Step 4: Simplify right side
    3,163.06x = 6,236,215.19
  5. Step 5: Solve for x
    x = 6,236,215.19/3,163.06
  6. Step 6: Final answer
    x = 1,971.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.