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Finding the Fourth Proportional to 1,981.69, 2,972.26 and 520.94

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Solution

The fourth proportional to 1,981.69, 2,972.26 and 520.94 is: 781.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,981.69 : 2,972.26 = 520.94 : x
  2. Step 2: Convert to fraction form
    1,981.69/2,972.26 = 520.94/x
  3. Step 3: Cross multiply
    1,981.69x = 2,972.26 × 520.94
  4. Step 4: Simplify right side
    1,981.69x = 1,548,369.12
  5. Step 5: Solve for x
    x = 1,548,369.12/1,981.69
  6. Step 6: Final answer
    x = 781.34

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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.