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Finding the Fourth Proportional to 2,892.81, 4,338.19 and 1,043.44

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Solution

The fourth proportional to 2,892.81, 4,338.19 and 1,043.44 is: 1,564.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,892.81 : 4,338.19 = 1,043.44 : x
  2. Step 2: Convert to fraction form
    2,892.81/4,338.19 = 1,043.44/x
  3. Step 3: Cross multiply
    2,892.81x = 4,338.19 × 1,043.44
  4. Step 4: Simplify right side
    2,892.81x = 4,526,627.52
  5. Step 5: Solve for x
    x = 4,526,627.52/2,892.81
  6. Step 6: Final answer
    x = 1,564.79

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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.