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Finding the Fourth Proportional to 2,081.02, 3,121.50 and 521.03

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Solution

The fourth proportional to 2,081.02, 3,121.50 and 521.03 is: 781.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,081.02 : 3,121.50 = 521.03 : x
  2. Step 2: Convert to fraction form
    2,081.02/3,121.50 = 521.03/x
  3. Step 3: Cross multiply
    2,081.02x = 3,121.50 × 521.03
  4. Step 4: Simplify right side
    2,081.02x = 1,626,395.15
  5. Step 5: Solve for x
    x = 1,626,395.15/2,081.02
  6. Step 6: Final answer
    x = 781.54

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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.