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Finding the Fourth Proportional to 3,124.31, 4,684.14 and 1,891.44

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Solution

The fourth proportional to 3,124.31, 4,684.14 and 1,891.44 is: 2,835.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,124.31 : 4,684.14 = 1,891.44 : x
  2. Step 2: Convert to fraction form
    3,124.31/4,684.14 = 1,891.44/x
  3. Step 3: Cross multiply
    3,124.31x = 4,684.14 × 1,891.44
  4. Step 4: Simplify right side
    3,124.31x = 8,859,777.62
  5. Step 5: Solve for x
    x = 8,859,777.62/3,124.31
  6. Step 6: Final answer
    x = 2,835.76

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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.