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Finding the Fourth Proportional to 2,914.25, 4,023.07 and 2,727.74

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Solution

The fourth proportional to 2,914.25, 4,023.07 and 2,727.74 is: 3,765.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,914.25 : 4,023.07 = 2,727.74 : x
  2. Step 2: Convert to fraction form
    2,914.25/4,023.07 = 2,727.74/x
  3. Step 3: Cross multiply
    2,914.25x = 4,023.07 × 2,727.74
  4. Step 4: Simplify right side
    2,914.25x = 10,973,892.20
  5. Step 5: Solve for x
    x = 10,973,892.20/2,914.25
  6. Step 6: Final answer
    x = 3,765.60

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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.