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Finding the Fourth Proportional to 1,937.78, 2,906.57 and 639.26

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Solution

The fourth proportional to 1,937.78, 2,906.57 and 639.26 is: 958.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,937.78 : 2,906.57 = 639.26 : x
  2. Step 2: Convert to fraction form
    1,937.78/2,906.57 = 639.26/x
  3. Step 3: Cross multiply
    1,937.78x = 2,906.57 × 639.26
  4. Step 4: Simplify right side
    1,937.78x = 1,858,041.00
  5. Step 5: Solve for x
    x = 1,858,041.00/1,937.78
  6. Step 6: Final answer
    x = 958.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.