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Finding the Fourth Proportional to 1,981.17, 2,971.50 and 520.44

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Solution

The fourth proportional to 1,981.17, 2,971.50 and 520.44 is: 780.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,981.17 : 2,971.50 = 520.44 : x
  2. Step 2: Convert to fraction form
    1,981.17/2,971.50 = 520.44/x
  3. Step 3: Cross multiply
    1,981.17x = 2,971.50 × 520.44
  4. Step 4: Simplify right side
    1,981.17x = 1,546,487.46
  5. Step 5: Solve for x
    x = 1,546,487.46/1,981.17
  6. Step 6: Final answer
    x = 780.59

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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.