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Finding the Fourth Proportional to 2,992.08, 4,489.68 and 2,261.44

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Solution

The fourth proportional to 2,992.08, 4,489.68 and 2,261.44 is: 3,393.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,992.08 : 4,489.68 = 2,261.44 : x
  2. Step 2: Convert to fraction form
    2,992.08/4,489.68 = 2,261.44/x
  3. Step 3: Cross multiply
    2,992.08x = 4,489.68 × 2,261.44
  4. Step 4: Simplify right side
    2,992.08x = 10,153,141.94
  5. Step 5: Solve for x
    x = 10,153,141.94/2,992.08
  6. Step 6: Final answer
    x = 3,393.34

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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.