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Finding the Fourth Proportional to 2,167.97, 2,992.17 and 1,284.20

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Solution

The fourth proportional to 2,167.97, 2,992.17 and 1,284.20 is: 1,772.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,167.97 : 2,992.17 = 1,284.20 : x
  2. Step 2: Convert to fraction form
    2,167.97/2,992.17 = 1,284.20/x
  3. Step 3: Cross multiply
    2,167.97x = 2,992.17 × 1,284.20
  4. Step 4: Simplify right side
    2,167.97x = 3,842,529.75
  5. Step 5: Solve for x
    x = 3,842,529.75/2,167.97
  6. Step 6: Final answer
    x = 1,772.41

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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.