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Finding the Fourth Proportional to 2,662.30, 3,992.65 and 1,102.26

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Solution

The fourth proportional to 2,662.30, 3,992.65 and 1,102.26 is: 1,653.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,662.30 : 3,992.65 = 1,102.26 : x
  2. Step 2: Convert to fraction form
    2,662.30/3,992.65 = 1,102.26/x
  3. Step 3: Cross multiply
    2,662.30x = 3,992.65 × 1,102.26
  4. Step 4: Simplify right side
    2,662.30x = 4,400,938.39
  5. Step 5: Solve for x
    x = 4,400,938.39/2,662.30
  6. Step 6: Final answer
    x = 1,653.06

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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.