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Finding the Fourth Proportional to 3,191.58, 4,778.47 and 1,628.20

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Solution

The fourth proportional to 3,191.58, 4,778.47 and 1,628.20 is: 2,437.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,191.58 : 4,778.47 = 1,628.20 : x
  2. Step 2: Convert to fraction form
    3,191.58/4,778.47 = 1,628.20/x
  3. Step 3: Cross multiply
    3,191.58x = 4,778.47 × 1,628.20
  4. Step 4: Simplify right side
    3,191.58x = 7,780,304.85
  5. Step 5: Solve for x
    x = 7,780,304.85/3,191.58
  6. Step 6: Final answer
    x = 2,437.76

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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.