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Finding the Fourth Proportional to 1,981.87, 2,972.77 and 521.03

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Solution

The fourth proportional to 1,981.87, 2,972.77 and 521.03 is: 781.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,981.87 : 2,972.77 = 521.03 : x
  2. Step 2: Convert to fraction form
    1,981.87/2,972.77 = 521.03/x
  3. Step 3: Cross multiply
    1,981.87x = 2,972.77 × 521.03
  4. Step 4: Simplify right side
    1,981.87x = 1,548,908.48
  5. Step 5: Solve for x
    x = 1,548,908.48/1,981.87
  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.