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Finding the Fourth Proportional to 1,992.14, 2,749.18 and 1,107.98

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Solution

The fourth proportional to 1,992.14, 2,749.18 and 1,107.98 is: 1,529.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,992.14 : 2,749.18 = 1,107.98 : x
  2. Step 2: Convert to fraction form
    1,992.14/2,749.18 = 1,107.98/x
  3. Step 3: Cross multiply
    1,992.14x = 2,749.18 × 1,107.98
  4. Step 4: Simplify right side
    1,992.14x = 3,046,036.46
  5. Step 5: Solve for x
    x = 3,046,036.46/1,992.14
  6. Step 6: Final answer
    x = 1,529.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.