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Finding the Fourth Proportional to 2,662.83, 3,992.58 and 1,103.58

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Solution

The fourth proportional to 2,662.83, 3,992.58 and 1,103.58 is: 1,654.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,662.83 : 3,992.58 = 1,103.58 : x
  2. Step 2: Convert to fraction form
    2,662.83/3,992.58 = 1,103.58/x
  3. Step 3: Cross multiply
    2,662.83x = 3,992.58 × 1,103.58
  4. Step 4: Simplify right side
    2,662.83x = 4,406,131.44
  5. Step 5: Solve for x
    x = 4,406,131.44/2,662.83
  6. Step 6: Final answer
    x = 1,654.68

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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.