Home / 2,983.78-4,471.11-2,006.26

Finding the Fourth Proportional to 2,983.78, 4,471.11 and 2,006.26

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Solution

The fourth proportional to 2,983.78, 4,471.11 and 2,006.26 is: 3,006.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,983.78 : 4,471.11 = 2,006.26 : x
  2. Step 2: Convert to fraction form
    2,983.78/4,471.11 = 2,006.26/x
  3. Step 3: Cross multiply
    2,983.78x = 4,471.11 × 2,006.26
  4. Step 4: Simplify right side
    2,983.78x = 8,970,209.15
  5. Step 5: Solve for x
    x = 8,970,209.15/2,983.78
  6. Step 6: Final answer
    x = 3,006.32

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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.