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Finding the Fourth Proportional to 2,892.32, 4,338.24 and 944.48

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Solution

The fourth proportional to 2,892.32, 4,338.24 and 944.48 is: 1,416.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,892.32 : 4,338.24 = 944.48 : x
  2. Step 2: Convert to fraction form
    2,892.32/4,338.24 = 944.48/x
  3. Step 3: Cross multiply
    2,892.32x = 4,338.24 × 944.48
  4. Step 4: Simplify right side
    2,892.32x = 4,097,380.92
  5. Step 5: Solve for x
    x = 4,097,380.92/2,892.32
  6. Step 6: Final answer
    x = 1,416.64

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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.