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Finding the Fourth Proportional to 2,872.62, 4,310.64 and 2,690.40

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Solution

The fourth proportional to 2,872.62, 4,310.64 and 2,690.40 is: 4,037.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,872.62 : 4,310.64 = 2,690.40 : x
  2. Step 2: Convert to fraction form
    2,872.62/4,310.64 = 2,690.40/x
  3. Step 3: Cross multiply
    2,872.62x = 4,310.64 × 2,690.40
  4. Step 4: Simplify right side
    2,872.62x = 11,597,345.86
  5. Step 5: Solve for x
    x = 11,597,345.86/2,872.62
  6. Step 6: Final answer
    x = 4,037.20

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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.