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Finding the Fourth Proportional to 1,992.35, 2,749.81 and 1,246.14

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Solution

The fourth proportional to 1,992.35, 2,749.81 and 1,246.14 is: 1,719.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,992.35 : 2,749.81 = 1,246.14 : x
  2. Step 2: Convert to fraction form
    1,992.35/2,749.81 = 1,246.14/x
  3. Step 3: Cross multiply
    1,992.35x = 2,749.81 × 1,246.14
  4. Step 4: Simplify right side
    1,992.35x = 3,426,648.23
  5. Step 5: Solve for x
    x = 3,426,648.23/1,992.35
  6. Step 6: Final answer
    x = 1,719.90

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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.