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Finding the Fourth Proportional to 2,663.36, 3,992.71 and 1,102.39

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Solution

The fourth proportional to 2,663.36, 3,992.71 and 1,102.39 is: 1,652.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,663.36 : 3,992.71 = 1,102.39 : x
  2. Step 2: Convert to fraction form
    2,663.36/3,992.71 = 1,102.39/x
  3. Step 3: Cross multiply
    2,663.36x = 3,992.71 × 1,102.39
  4. Step 4: Simplify right side
    2,663.36x = 4,401,523.58
  5. Step 5: Solve for x
    x = 4,401,523.58/2,663.36
  6. Step 6: Final answer
    x = 1,652.62

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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.