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Finding the Fourth Proportional to 3,244.26, 4,477.08 and 1,847

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Solution

The fourth proportional to 3,244.26, 4,477.08 and 1,847 is: 2,548.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,244.26 : 4,477.08 = 1,847 : x
  2. Step 2: Convert to fraction form
    3,244.26/4,477.08 = 1,847/x
  3. Step 3: Cross multiply
    3,244.26x = 4,477.08 × 1,847
  4. Step 4: Simplify right side
    3,244.26x = 8,269,166.76
  5. Step 5: Solve for x
    x = 8,269,166.76/3,244.26
  6. Step 6: Final answer
    x = 2,548.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.