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Finding the Fourth Proportional to 2,471.52, 3,721.91 and 2,150.76

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Solution

The fourth proportional to 2,471.52, 3,721.91 and 2,150.76 is: 3,238.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,471.52 : 3,721.91 = 2,150.76 : x
  2. Step 2: Convert to fraction form
    2,471.52/3,721.91 = 2,150.76/x
  3. Step 3: Cross multiply
    2,471.52x = 3,721.91 × 2,150.76
  4. Step 4: Simplify right side
    2,471.52x = 8,004,924.40
  5. Step 5: Solve for x
    x = 8,004,924.40/2,471.52
  6. Step 6: Final answer
    x = 3,238.87

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.