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Finding the Fourth Proportional to 2,340.92, 3,232.68 and 2,027

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Solution

The fourth proportional to 2,340.92, 3,232.68 and 2,027 is: 2,799.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,340.92 : 3,232.68 = 2,027 : x
  2. Step 2: Convert to fraction form
    2,340.92/3,232.68 = 2,027/x
  3. Step 3: Cross multiply
    2,340.92x = 3,232.68 × 2,027
  4. Step 4: Simplify right side
    2,340.92x = 6,552,642.36
  5. Step 5: Solve for x
    x = 6,552,642.36/2,340.92
  6. Step 6: Final answer
    x = 2,799.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.