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Finding the Fourth Proportional to 2,892.56, 4,338.80 and 944.80

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Solution

The fourth proportional to 2,892.56, 4,338.80 and 944.80 is: 1,417.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,892.56 : 4,338.80 = 944.80 : x
  2. Step 2: Convert to fraction form
    2,892.56/4,338.80 = 944.80/x
  3. Step 3: Cross multiply
    2,892.56x = 4,338.80 × 944.80
  4. Step 4: Simplify right side
    2,892.56x = 4,099,298.24
  5. Step 5: Solve for x
    x = 4,099,298.24/2,892.56
  6. Step 6: Final answer
    x = 1,417.19

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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.