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Finding the Fourth Proportional to 2,151.83, 3,227.91 and 919.25

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Solution

The fourth proportional to 2,151.83, 3,227.91 and 919.25 is: 1,378.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,151.83 : 3,227.91 = 919.25 : x
  2. Step 2: Convert to fraction form
    2,151.83/3,227.91 = 919.25/x
  3. Step 3: Cross multiply
    2,151.83x = 3,227.91 × 919.25
  4. Step 4: Simplify right side
    2,151.83x = 2,967,256.27
  5. Step 5: Solve for x
    x = 2,967,256.27/2,151.83
  6. Step 6: Final answer
    x = 1,378.95

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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.