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Finding the Fourth Proportional to 2,620.28, 3,909.43 and 2,090.72

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Solution

The fourth proportional to 2,620.28, 3,909.43 and 2,090.72 is: 3,119.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,620.28 : 3,909.43 = 2,090.72 : x
  2. Step 2: Convert to fraction form
    2,620.28/3,909.43 = 2,090.72/x
  3. Step 3: Cross multiply
    2,620.28x = 3,909.43 × 2,090.72
  4. Step 4: Simplify right side
    2,620.28x = 8,173,523.49
  5. Step 5: Solve for x
    x = 8,173,523.49/2,620.28
  6. Step 6: Final answer
    x = 3,119.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.