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Finding the Fourth Proportional to 2,650.35, 3,976.38 and 1,597.31

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Solution

The fourth proportional to 2,650.35, 3,976.38 and 1,597.31 is: 2,396.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,650.35 : 3,976.38 = 1,597.31 : x
  2. Step 2: Convert to fraction form
    2,650.35/3,976.38 = 1,597.31/x
  3. Step 3: Cross multiply
    2,650.35x = 3,976.38 × 1,597.31
  4. Step 4: Simplify right side
    2,650.35x = 6,351,491.66
  5. Step 5: Solve for x
    x = 6,351,491.66/2,650.35
  6. Step 6: Final answer
    x = 2,396.47

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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.