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Finding the Fourth Proportional to 2,892.77, 3,992.02 and 1,633.82

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Solution

The fourth proportional to 2,892.77, 3,992.02 and 1,633.82 is: 2,254.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,892.77 : 3,992.02 = 1,633.82 : x
  2. Step 2: Convert to fraction form
    2,892.77/3,992.02 = 1,633.82/x
  3. Step 3: Cross multiply
    2,892.77x = 3,992.02 × 1,633.82
  4. Step 4: Simplify right side
    2,892.77x = 6,522,264.26
  5. Step 5: Solve for x
    x = 6,522,264.26/2,892.77
  6. Step 6: Final answer
    x = 2,254.68

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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.