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Finding the Fourth Proportional to 2,765.92, 4,153.62 and 1,847.38

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Solution

The fourth proportional to 2,765.92, 4,153.62 and 1,847.38 is: 2,774.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,765.92 : 4,153.62 = 1,847.38 : x
  2. Step 2: Convert to fraction form
    2,765.92/4,153.62 = 1,847.38/x
  3. Step 3: Cross multiply
    2,765.92x = 4,153.62 × 1,847.38
  4. Step 4: Simplify right side
    2,765.92x = 7,673,305.28
  5. Step 5: Solve for x
    x = 7,673,305.28/2,765.92
  6. Step 6: Final answer
    x = 2,774.23

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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.