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Finding the Fourth Proportional to 2,630.69, 3,942.99 and 2,113.91

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Solution

The fourth proportional to 2,630.69, 3,942.99 and 2,113.91 is: 3,168.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,630.69 : 3,942.99 = 2,113.91 : x
  2. Step 2: Convert to fraction form
    2,630.69/3,942.99 = 2,113.91/x
  3. Step 3: Cross multiply
    2,630.69x = 3,942.99 × 2,113.91
  4. Step 4: Simplify right side
    2,630.69x = 8,335,106.28
  5. Step 5: Solve for x
    x = 8,335,106.28/2,630.69
  6. Step 6: Final answer
    x = 3,168.42

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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.