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Finding the Fourth Proportional to 3,048.91, 4,201.47 and 2,163.18

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Solution

The fourth proportional to 3,048.91, 4,201.47 and 2,163.18 is: 2,980.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,048.91 : 4,201.47 = 2,163.18 : x
  2. Step 2: Convert to fraction form
    3,048.91/4,201.47 = 2,163.18/x
  3. Step 3: Cross multiply
    3,048.91x = 4,201.47 × 2,163.18
  4. Step 4: Simplify right side
    3,048.91x = 9,088,535.87
  5. Step 5: Solve for x
    x = 9,088,535.87/3,048.91
  6. Step 6: Final answer
    x = 2,980.91

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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.