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Finding the Fourth Proportional to 1,992.02, 2,749.14 and 1,107.99

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Solution

The fourth proportional to 1,992.02, 2,749.14 and 1,107.99 is: 1,529.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,992.02 : 2,749.14 = 1,107.99 : x
  2. Step 2: Convert to fraction form
    1,992.02/2,749.14 = 1,107.99/x
  3. Step 3: Cross multiply
    1,992.02x = 2,749.14 × 1,107.99
  4. Step 4: Simplify right side
    1,992.02x = 3,046,019.63
  5. Step 5: Solve for x
    x = 3,046,019.63/1,992.02
  6. Step 6: Final answer
    x = 1,529.11

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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.