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Finding the Fourth Proportional to 2,630.86, 3,951.55 and 1,645.43

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Solution

The fourth proportional to 2,630.86, 3,951.55 and 1,645.43 is: 2,471.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,630.86 : 3,951.55 = 1,645.43 : x
  2. Step 2: Convert to fraction form
    2,630.86/3,951.55 = 1,645.43/x
  3. Step 3: Cross multiply
    2,630.86x = 3,951.55 × 1,645.43
  4. Step 4: Simplify right side
    2,630.86x = 6,501,998.92
  5. Step 5: Solve for x
    x = 6,501,998.92/2,630.86
  6. Step 6: Final answer
    x = 2,471.43

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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.