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Finding the Fourth Proportional to 1,937.78, 2,906.87 and 621.21

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Solution

The fourth proportional to 1,937.78, 2,906.87 and 621.21 is: 931.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,937.78 : 2,906.87 = 621.21 : x
  2. Step 2: Convert to fraction form
    1,937.78/2,906.87 = 621.21/x
  3. Step 3: Cross multiply
    1,937.78x = 2,906.87 × 621.21
  4. Step 4: Simplify right side
    1,937.78x = 1,805,778.27
  5. Step 5: Solve for x
    x = 1,805,778.27/1,937.78
  6. Step 6: Final answer
    x = 931.88

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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.