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Finding the Fourth Proportional to 1,992.68, 2,749.92 and 1,164.68

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Solution

The fourth proportional to 1,992.68, 2,749.92 and 1,164.68 is: 1,607.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,992.68 : 2,749.92 = 1,164.68 : x
  2. Step 2: Convert to fraction form
    1,992.68/2,749.92 = 1,164.68/x
  3. Step 3: Cross multiply
    1,992.68x = 2,749.92 × 1,164.68
  4. Step 4: Simplify right side
    1,992.68x = 3,202,776.83
  5. Step 5: Solve for x
    x = 3,202,776.83/1,992.68
  6. Step 6: Final answer
    x = 1,607.27

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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.