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Finding the Fourth Proportional to 2,967.75, 4,097.13 and 2,221.44

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Solution

The fourth proportional to 2,967.75, 4,097.13 and 2,221.44 is: 3,066.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,967.75 : 4,097.13 = 2,221.44 : x
  2. Step 2: Convert to fraction form
    2,967.75/4,097.13 = 2,221.44/x
  3. Step 3: Cross multiply
    2,967.75x = 4,097.13 × 2,221.44
  4. Step 4: Simplify right side
    2,967.75x = 9,101,528.47
  5. Step 5: Solve for x
    x = 9,101,528.47/2,967.75
  6. Step 6: Final answer
    x = 3,066.81

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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.