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Finding the Fourth Proportional to 1,992.82, 2,750.09 and 1,108.63

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Solution

The fourth proportional to 1,992.82, 2,750.09 and 1,108.63 is: 1,529.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,992.82 : 2,750.09 = 1,108.63 : x
  2. Step 2: Convert to fraction form
    1,992.82/2,750.09 = 1,108.63/x
  3. Step 3: Cross multiply
    1,992.82x = 2,750.09 × 1,108.63
  4. Step 4: Simplify right side
    1,992.82x = 3,048,812.98
  5. Step 5: Solve for x
    x = 3,048,812.98/1,992.82
  6. Step 6: Final answer
    x = 1,529.90

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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.