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Finding the Fourth Proportional to 3,296.34, 4,942.86 and 1,216.26

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Solution

The fourth proportional to 3,296.34, 4,942.86 and 1,216.26 is: 1,823.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,296.34 : 4,942.86 = 1,216.26 : x
  2. Step 2: Convert to fraction form
    3,296.34/4,942.86 = 1,216.26/x
  3. Step 3: Cross multiply
    3,296.34x = 4,942.86 × 1,216.26
  4. Step 4: Simplify right side
    3,296.34x = 6,011,802.90
  5. Step 5: Solve for x
    x = 6,011,802.90/3,296.34
  6. Step 6: Final answer
    x = 1,823.78

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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.