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Finding the Fourth Proportional to 3,175.78, 4,767.20 and 1,861.08

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Solution

The fourth proportional to 3,175.78, 4,767.20 and 1,861.08 is: 2,793.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,175.78 : 4,767.20 = 1,861.08 : x
  2. Step 2: Convert to fraction form
    3,175.78/4,767.20 = 1,861.08/x
  3. Step 3: Cross multiply
    3,175.78x = 4,767.20 × 1,861.08
  4. Step 4: Simplify right side
    3,175.78x = 8,872,130.84
  5. Step 5: Solve for x
    x = 8,872,130.84/3,175.78
  6. Step 6: Final answer
    x = 2,793.68

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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.