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Finding the Fourth Proportional to 2,892.08, 4,338.73 and 944.23

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Solution

The fourth proportional to 2,892.08, 4,338.73 and 944.23 is: 1,416.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,892.08 : 4,338.73 = 944.23 : x
  2. Step 2: Convert to fraction form
    2,892.08/4,338.73 = 944.23/x
  3. Step 3: Cross multiply
    2,892.08x = 4,338.73 × 944.23
  4. Step 4: Simplify right side
    2,892.08x = 4,096,759.03
  5. Step 5: Solve for x
    x = 4,096,759.03/2,892.08
  6. Step 6: Final answer
    x = 1,416.54

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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.