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Finding the Fourth Proportional to 2,650.38, 3,655.20 and 2,274.94

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Solution

The fourth proportional to 2,650.38, 3,655.20 and 2,274.94 is: 3,137.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,650.38 : 3,655.20 = 2,274.94 : x
  2. Step 2: Convert to fraction form
    2,650.38/3,655.20 = 2,274.94/x
  3. Step 3: Cross multiply
    2,650.38x = 3,655.20 × 2,274.94
  4. Step 4: Simplify right side
    2,650.38x = 8,315,360.69
  5. Step 5: Solve for x
    x = 8,315,360.69/2,650.38
  6. Step 6: Final answer
    x = 3,137.42

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1.5x scale

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.