Home / 1,648.28-2,274.68-949.72

Finding the Fourth Proportional to 1,648.28, 2,274.68 and 949.72

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Solution

The fourth proportional to 1,648.28, 2,274.68 and 949.72 is: 1,310.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648.28 : 2,274.68 = 949.72 : x
  2. Step 2: Convert to fraction form
    1,648.28/2,274.68 = 949.72/x
  3. Step 3: Cross multiply
    1,648.28x = 2,274.68 × 949.72
  4. Step 4: Simplify right side
    1,648.28x = 2,160,309.09
  5. Step 5: Solve for x
    x = 2,160,309.09/1,648.28
  6. Step 6: Final answer
    x = 1,310.64

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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.