Home / 3,160.68-4,736.10-2,004

Finding the Fourth Proportional to 3,160.68, 4,736.10 and 2,004

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Solution

The fourth proportional to 3,160.68, 4,736.10 and 2,004 is: 3,002.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,160.68 : 4,736.10 = 2,004 : x
  2. Step 2: Convert to fraction form
    3,160.68/4,736.10 = 2,004/x
  3. Step 3: Cross multiply
    3,160.68x = 4,736.10 × 2,004
  4. Step 4: Simplify right side
    3,160.68x = 9,491,144.40
  5. Step 5: Solve for x
    x = 9,491,144.40/3,160.68
  6. Step 6: Final answer
    x = 3,002.88

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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.