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Finding the Fourth Proportional to 3,163.77, 4,744.41 and 1,313.93

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Solution

The fourth proportional to 3,163.77, 4,744.41 and 1,313.93 is: 1,970.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,163.77 : 4,744.41 = 1,313.93 : x
  2. Step 2: Convert to fraction form
    3,163.77/4,744.41 = 1,313.93/x
  3. Step 3: Cross multiply
    3,163.77x = 4,744.41 × 1,313.93
  4. Step 4: Simplify right side
    3,163.77x = 6,233,798.91
  5. Step 5: Solve for x
    x = 6,233,798.91/3,163.77
  6. Step 6: Final answer
    x = 1,970.37

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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.