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Finding the Fourth Proportional to 2,893.11, 3,992.49 and 1,566.84

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Solution

The fourth proportional to 2,893.11, 3,992.49 and 1,566.84 is: 2,162.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,893.11 : 3,992.49 = 1,566.84 : x
  2. Step 2: Convert to fraction form
    2,893.11/3,992.49 = 1,566.84/x
  3. Step 3: Cross multiply
    2,893.11x = 3,992.49 × 1,566.84
  4. Step 4: Simplify right side
    2,893.11x = 6,255,593.03
  5. Step 5: Solve for x
    x = 6,255,593.03/2,893.11
  6. Step 6: Final answer
    x = 2,162.24

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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.