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Finding the Fourth Proportional to 2,150.48, 2,968.20 and 1,322

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Solution

The fourth proportional to 2,150.48, 2,968.20 and 1,322 is: 1,824.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,150.48 : 2,968.20 = 1,322 : x
  2. Step 2: Convert to fraction form
    2,150.48/2,968.20 = 1,322/x
  3. Step 3: Cross multiply
    2,150.48x = 2,968.20 × 1,322
  4. Step 4: Simplify right side
    2,150.48x = 3,923,960.40
  5. Step 5: Solve for x
    x = 3,923,960.40/2,150.48
  6. Step 6: Final answer
    x = 1,824.69

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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.