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Finding the Fourth Proportional to 2,182.92, 3,275.64 and 950.04

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Solution

The fourth proportional to 2,182.92, 3,275.64 and 950.04 is: 1,425.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,182.92 : 3,275.64 = 950.04 : x
  2. Step 2: Convert to fraction form
    2,182.92/3,275.64 = 950.04/x
  3. Step 3: Cross multiply
    2,182.92x = 3,275.64 × 950.04
  4. Step 4: Simplify right side
    2,182.92x = 3,111,989.03
  5. Step 5: Solve for x
    x = 3,111,989.03/2,182.92
  6. Step 6: Final answer
    x = 1,425.61

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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.