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Finding the Fourth Proportional to 2,663.92, 3,997.76 and 999.47

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Solution

The fourth proportional to 2,663.92, 3,997.76 and 999.47 is: 1,499.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,663.92 : 3,997.76 = 999.47 : x
  2. Step 2: Convert to fraction form
    2,663.92/3,997.76 = 999.47/x
  3. Step 3: Cross multiply
    2,663.92x = 3,997.76 × 999.47
  4. Step 4: Simplify right side
    2,663.92x = 3,995,646.18
  5. Step 5: Solve for x
    x = 3,995,646.18/2,663.92
  6. Step 6: Final answer
    x = 1,499.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.