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Finding the Fourth Proportional to 3,322.13, 4,979.16 and 1,471.13

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Solution

The fourth proportional to 3,322.13, 4,979.16 and 1,471.13 is: 2,204.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,322.13 : 4,979.16 = 1,471.13 : x
  2. Step 2: Convert to fraction form
    3,322.13/4,979.16 = 1,471.13/x
  3. Step 3: Cross multiply
    3,322.13x = 4,979.16 × 1,471.13
  4. Step 4: Simplify right side
    3,322.13x = 7,324,991.65
  5. Step 5: Solve for x
    x = 7,324,991.65/3,322.13
  6. Step 6: Final answer
    x = 2,204.91

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Why These Related Problems?

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