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Finding the Fourth Proportional to 2,856.44, 4,284.94 and 1,375.22

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Solution

The fourth proportional to 2,856.44, 4,284.94 and 1,375.22 is: 2,062.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,856.44 : 4,284.94 = 1,375.22 : x
  2. Step 2: Convert to fraction form
    2,856.44/4,284.94 = 1,375.22/x
  3. Step 3: Cross multiply
    2,856.44x = 4,284.94 × 1,375.22
  4. Step 4: Simplify right side
    2,856.44x = 5,892,735.19
  5. Step 5: Solve for x
    x = 5,892,735.19/2,856.44
  6. Step 6: Final answer
    x = 2,062.96

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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.