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Finding the Fourth Proportional to 2,813.72, 4,217.78 and 1,889.64

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Solution

The fourth proportional to 2,813.72, 4,217.78 and 1,889.64 is: 2,832.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,813.72 : 4,217.78 = 1,889.64 : x
  2. Step 2: Convert to fraction form
    2,813.72/4,217.78 = 1,889.64/x
  3. Step 3: Cross multiply
    2,813.72x = 4,217.78 × 1,889.64
  4. Step 4: Simplify right side
    2,813.72x = 7,970,085.80
  5. Step 5: Solve for x
    x = 7,970,085.80/2,813.72
  6. Step 6: Final answer
    x = 2,832.58

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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.