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Finding the Fourth Proportional to 2,064.29, 3,079.49 and 2,007.81

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Solution

The fourth proportional to 2,064.29, 3,079.49 and 2,007.81 is: 2,995.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,064.29 : 3,079.49 = 2,007.81 : x
  2. Step 2: Convert to fraction form
    2,064.29/3,079.49 = 2,007.81/x
  3. Step 3: Cross multiply
    2,064.29x = 3,079.49 × 2,007.81
  4. Step 4: Simplify right side
    2,064.29x = 6,183,020.78
  5. Step 5: Solve for x
    x = 6,183,020.78/2,064.29
  6. Step 6: Final answer
    x = 2,995.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.