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Finding the Fourth Proportional to 3,177.87, 4,769.25 and 1,792.43

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Solution

The fourth proportional to 3,177.87, 4,769.25 and 1,792.43 is: 2,690.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,177.87 : 4,769.25 = 1,792.43 : x
  2. Step 2: Convert to fraction form
    3,177.87/4,769.25 = 1,792.43/x
  3. Step 3: Cross multiply
    3,177.87x = 4,769.25 × 1,792.43
  4. Step 4: Simplify right side
    3,177.87x = 8,548,549.22
  5. Step 5: Solve for x
    x = 8,548,549.22/3,177.87
  6. Step 6: Final answer
    x = 2,690.02

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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.