Home / 2,002.20-3,004.02-905.74

Finding the Fourth Proportional to 2,002.20, 3,004.02 and 905.74

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Solution

The fourth proportional to 2,002.20, 3,004.02 and 905.74 is: 1,358.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,002.20 : 3,004.02 = 905.74 : x
  2. Step 2: Convert to fraction form
    2,002.20/3,004.02 = 905.74/x
  3. Step 3: Cross multiply
    2,002.20x = 3,004.02 × 905.74
  4. Step 4: Simplify right side
    2,002.20x = 2,720,861.07
  5. Step 5: Solve for x
    x = 2,720,861.07/2,002.20
  6. Step 6: Final answer
    x = 1,358.94

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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.