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Finding the Fourth Proportional to 2,643.43, 3,969.03 and 2,596.77

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Solution

The fourth proportional to 2,643.43, 3,969.03 and 2,596.77 is: 3,898.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,643.43 : 3,969.03 = 2,596.77 : x
  2. Step 2: Convert to fraction form
    2,643.43/3,969.03 = 2,596.77/x
  3. Step 3: Cross multiply
    2,643.43x = 3,969.03 × 2,596.77
  4. Step 4: Simplify right side
    2,643.43x = 10,306,658.03
  5. Step 5: Solve for x
    x = 10,306,658.03/2,643.43
  6. Step 6: Final answer
    x = 3,898.97

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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.