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Finding the Fourth Proportional to 2,891.17, 3,992.19 and 1,772.84

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Solution

The fourth proportional to 2,891.17, 3,992.19 and 1,772.84 is: 2,447.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,891.17 : 3,992.19 = 1,772.84 : x
  2. Step 2: Convert to fraction form
    2,891.17/3,992.19 = 1,772.84/x
  3. Step 3: Cross multiply
    2,891.17x = 3,992.19 × 1,772.84
  4. Step 4: Simplify right side
    2,891.17x = 7,077,495.00
  5. Step 5: Solve for x
    x = 7,077,495.00/2,891.17
  6. Step 6: Final answer
    x = 2,447.97

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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.