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Finding the Fourth Proportional to 2,847.36, 4,269.68 and 1,614.44

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Solution

The fourth proportional to 2,847.36, 4,269.68 and 1,614.44 is: 2,420.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,847.36 : 4,269.68 = 1,614.44 : x
  2. Step 2: Convert to fraction form
    2,847.36/4,269.68 = 1,614.44/x
  3. Step 3: Cross multiply
    2,847.36x = 4,269.68 × 1,614.44
  4. Step 4: Simplify right side
    2,847.36x = 6,893,144.78
  5. Step 5: Solve for x
    x = 6,893,144.78/2,847.36
  6. Step 6: Final answer
    x = 2,420.89

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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.