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Finding the Fourth Proportional to 2,892.86, 3,992.14 and 1,566.56

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Solution

The fourth proportional to 2,892.86, 3,992.14 and 1,566.56 is: 2,161.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,892.86 : 3,992.14 = 1,566.56 : x
  2. Step 2: Convert to fraction form
    2,892.86/3,992.14 = 1,566.56/x
  3. Step 3: Cross multiply
    2,892.86x = 3,992.14 × 1,566.56
  4. Step 4: Simplify right side
    2,892.86x = 6,253,926.84
  5. Step 5: Solve for x
    x = 6,253,926.84/2,892.86
  6. Step 6: Final answer
    x = 2,161.85

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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.