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Finding the Fourth Proportional to 2,796.72, 4,196.44 and 1,980.24

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Solution

The fourth proportional to 2,796.72, 4,196.44 and 1,980.24 is: 2,971.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,796.72 : 4,196.44 = 1,980.24 : x
  2. Step 2: Convert to fraction form
    2,796.72/4,196.44 = 1,980.24/x
  3. Step 3: Cross multiply
    2,796.72x = 4,196.44 × 1,980.24
  4. Step 4: Simplify right side
    2,796.72x = 8,309,958.35
  5. Step 5: Solve for x
    x = 8,309,958.35/2,796.72
  6. Step 6: Final answer
    x = 2,971.32

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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.