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Finding the Fourth Proportional to 3,177.63, 4,770.90 and 2,519.91

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Solution

The fourth proportional to 3,177.63, 4,770.90 and 2,519.91 is: 3,783.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,177.63 : 4,770.90 = 2,519.91 : x
  2. Step 2: Convert to fraction form
    3,177.63/4,770.90 = 2,519.91/x
  3. Step 3: Cross multiply
    3,177.63x = 4,770.90 × 2,519.91
  4. Step 4: Simplify right side
    3,177.63x = 12,022,238.62
  5. Step 5: Solve for x
    x = 12,022,238.62/3,177.63
  6. Step 6: Final answer
    x = 3,783.40

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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.