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Finding the Fourth Proportional to 2,874.82, 4,311.84 and 1,025.44

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Solution

The fourth proportional to 2,874.82, 4,311.84 and 1,025.44 is: 1,538.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,874.82 : 4,311.84 = 1,025.44 : x
  2. Step 2: Convert to fraction form
    2,874.82/4,311.84 = 1,025.44/x
  3. Step 3: Cross multiply
    2,874.82x = 4,311.84 × 1,025.44
  4. Step 4: Simplify right side
    2,874.82x = 4,421,533.21
  5. Step 5: Solve for x
    x = 4,421,533.21/2,874.82
  6. Step 6: Final answer
    x = 1,538.02

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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.