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Finding the Fourth Proportional to 2,892.87, 3,992.16 and 1,566.57

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Solution

The fourth proportional to 2,892.87, 3,992.16 and 1,566.57 is: 2,161.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,892.87 : 3,992.16 = 1,566.57 : x
  2. Step 2: Convert to fraction form
    2,892.87/3,992.16 = 1,566.57/x
  3. Step 3: Cross multiply
    2,892.87x = 3,992.16 × 1,566.57
  4. Step 4: Simplify right side
    2,892.87x = 6,253,998.09
  5. Step 5: Solve for x
    x = 6,253,998.09/2,892.87
  6. Step 6: Final answer
    x = 2,161.87

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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.