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Finding the Fourth Proportional to 2,063.46, 2,847.82 and 1,179.55

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Solution

The fourth proportional to 2,063.46, 2,847.82 and 1,179.55 is: 1,627.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,063.46 : 2,847.82 = 1,179.55 : x
  2. Step 2: Convert to fraction form
    2,063.46/2,847.82 = 1,179.55/x
  3. Step 3: Cross multiply
    2,063.46x = 2,847.82 × 1,179.55
  4. Step 4: Simplify right side
    2,063.46x = 3,359,146.08
  5. Step 5: Solve for x
    x = 3,359,146.08/2,063.46
  6. Step 6: Final answer
    x = 1,627.92

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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.