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Finding the Fourth Proportional to 2,892.88, 4,336.26 and 944.56

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Solution

The fourth proportional to 2,892.88, 4,336.26 and 944.56 is: 1,415.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,892.88 : 4,336.26 = 944.56 : x
  2. Step 2: Convert to fraction form
    2,892.88/4,336.26 = 944.56/x
  3. Step 3: Cross multiply
    2,892.88x = 4,336.26 × 944.56
  4. Step 4: Simplify right side
    2,892.88x = 4,095,857.75
  5. Step 5: Solve for x
    x = 4,095,857.75/2,892.88
  6. Step 6: Final answer
    x = 1,415.84

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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.