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Finding the Fourth Proportional to 2,996.48, 4,489.60 and 2,216.96

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Solution

The fourth proportional to 2,996.48, 4,489.60 and 2,216.96 is: 3,321.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,996.48 : 4,489.60 = 2,216.96 : x
  2. Step 2: Convert to fraction form
    2,996.48/4,489.60 = 2,216.96/x
  3. Step 3: Cross multiply
    2,996.48x = 4,489.60 × 2,216.96
  4. Step 4: Simplify right side
    2,996.48x = 9,953,263.62
  5. Step 5: Solve for x
    x = 9,953,263.62/2,996.48
  6. Step 6: Final answer
    x = 3,321.65

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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.