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Finding the Fourth Proportional to 1,992.48, 2,749.72 and 1,206.60

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Solution

The fourth proportional to 1,992.48, 2,749.72 and 1,206.60 is: 1,665.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,992.48 : 2,749.72 = 1,206.60 : x
  2. Step 2: Convert to fraction form
    1,992.48/2,749.72 = 1,206.60/x
  3. Step 3: Cross multiply
    1,992.48x = 2,749.72 × 1,206.60
  4. Step 4: Simplify right side
    1,992.48x = 3,317,812.15
  5. Step 5: Solve for x
    x = 3,317,812.15/1,992.48
  6. Step 6: Final answer
    x = 1,665.17

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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.