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Finding the Fourth Proportional to 2,663.92, 3,676.20 and 1,468.92

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Solution

The fourth proportional to 2,663.92, 3,676.20 and 1,468.92 is: 2,027.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,663.92 : 3,676.20 = 1,468.92 : x
  2. Step 2: Convert to fraction form
    2,663.92/3,676.20 = 1,468.92/x
  3. Step 3: Cross multiply
    2,663.92x = 3,676.20 × 1,468.92
  4. Step 4: Simplify right side
    2,663.92x = 5,400,043.70
  5. Step 5: Solve for x
    x = 5,400,043.70/2,663.92
  6. Step 6: Final answer
    x = 2,027.11

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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.