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Finding the Fourth Proportional to 3,161.64, 4,743.42 and 1,313.61

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Solution

The fourth proportional to 3,161.64, 4,743.42 and 1,313.61 is: 1,970.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,161.64 : 4,743.42 = 1,313.61 : x
  2. Step 2: Convert to fraction form
    3,161.64/4,743.42 = 1,313.61/x
  3. Step 3: Cross multiply
    3,161.64x = 4,743.42 × 1,313.61
  4. Step 4: Simplify right side
    3,161.64x = 6,231,003.95
  5. Step 5: Solve for x
    x = 6,231,003.95/3,161.64
  6. Step 6: Final answer
    x = 1,970.81

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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.