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Finding the Fourth Proportional to 1,950.36, 2,928.78 and 1,935.24

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Solution

The fourth proportional to 1,950.36, 2,928.78 and 1,935.24 is: 2,906.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,950.36 : 2,928.78 = 1,935.24 : x
  2. Step 2: Convert to fraction form
    1,950.36/2,928.78 = 1,935.24/x
  3. Step 3: Cross multiply
    1,950.36x = 2,928.78 × 1,935.24
  4. Step 4: Simplify right side
    1,950.36x = 5,667,892.21
  5. Step 5: Solve for x
    x = 5,667,892.21/1,950.36
  6. Step 6: Final answer
    x = 2,906.07

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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.