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Finding the Fourth Proportional to 2,874.56, 3,962.32 and 2,174.72

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Solution

The fourth proportional to 2,874.56, 3,962.32 and 2,174.72 is: 2,997.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,874.56 : 3,962.32 = 2,174.72 : x
  2. Step 2: Convert to fraction form
    2,874.56/3,962.32 = 2,174.72/x
  3. Step 3: Cross multiply
    2,874.56x = 3,962.32 × 2,174.72
  4. Step 4: Simplify right side
    2,874.56x = 8,616,911.30
  5. Step 5: Solve for x
    x = 8,616,911.30/2,874.56
  6. Step 6: Final answer
    x = 2,997.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.