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Finding the Fourth Proportional to 2,163.93, 3,240.41 and 1,384.81

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Solution

The fourth proportional to 2,163.93, 3,240.41 and 1,384.81 is: 2,073.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,163.93 : 3,240.41 = 1,384.81 : x
  2. Step 2: Convert to fraction form
    2,163.93/3,240.41 = 1,384.81/x
  3. Step 3: Cross multiply
    2,163.93x = 3,240.41 × 1,384.81
  4. Step 4: Simplify right side
    2,163.93x = 4,487,355.37
  5. Step 5: Solve for x
    x = 4,487,355.37/2,163.93
  6. Step 6: Final answer
    x = 2,073.70

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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.