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Finding the Fourth Proportional to 2,872.16, 4,311.52 and 2,226.32

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Solution

The fourth proportional to 2,872.16, 4,311.52 and 2,226.32 is: 3,342.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,872.16 : 4,311.52 = 2,226.32 : x
  2. Step 2: Convert to fraction form
    2,872.16/4,311.52 = 2,226.32/x
  3. Step 3: Cross multiply
    2,872.16x = 4,311.52 × 2,226.32
  4. Step 4: Simplify right side
    2,872.16x = 9,598,823.21
  5. Step 5: Solve for x
    x = 9,598,823.21/2,872.16
  6. Step 6: Final answer
    x = 3,342.02

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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.