Home / 2,004.03-3,006.08-523.30

Finding the Fourth Proportional to 2,004.03, 3,006.08 and 523.30

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Solution

The fourth proportional to 2,004.03, 3,006.08 and 523.30 is: 784.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,004.03 : 3,006.08 = 523.30 : x
  2. Step 2: Convert to fraction form
    2,004.03/3,006.08 = 523.30/x
  3. Step 3: Cross multiply
    2,004.03x = 3,006.08 × 523.30
  4. Step 4: Simplify right side
    2,004.03x = 1,573,081.66
  5. Step 5: Solve for x
    x = 1,573,081.66/2,004.03
  6. Step 6: Final answer
    x = 784.96

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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.