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Finding the Fourth Proportional to 3,244.56, 4,869.36 and 1,296.96

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Solution

The fourth proportional to 3,244.56, 4,869.36 and 1,296.96 is: 1,946.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,244.56 : 4,869.36 = 1,296.96 : x
  2. Step 2: Convert to fraction form
    3,244.56/4,869.36 = 1,296.96/x
  3. Step 3: Cross multiply
    3,244.56x = 4,869.36 × 1,296.96
  4. Step 4: Simplify right side
    3,244.56x = 6,315,365.15
  5. Step 5: Solve for x
    x = 6,315,365.15/3,244.56
  6. Step 6: Final answer
    x = 1,946.45

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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.