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Finding the Fourth Proportional to 2,182.92, 3,274.98 and 950.43

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Solution

The fourth proportional to 2,182.92, 3,274.98 and 950.43 is: 1,425.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,182.92 : 3,274.98 = 950.43 : x
  2. Step 2: Convert to fraction form
    2,182.92/3,274.98 = 950.43/x
  3. Step 3: Cross multiply
    2,182.92x = 3,274.98 × 950.43
  4. Step 4: Simplify right side
    2,182.92x = 3,112,639.24
  5. Step 5: Solve for x
    x = 3,112,639.24/2,182.92
  6. Step 6: Final answer
    x = 1,425.91

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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.