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Finding the Fourth Proportional to 2,650.82, 3,970.07 and 2,558.55

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Solution

The fourth proportional to 2,650.82, 3,970.07 and 2,558.55 is: 3,831.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,650.82 : 3,970.07 = 2,558.55 : x
  2. Step 2: Convert to fraction form
    2,650.82/3,970.07 = 2,558.55/x
  3. Step 3: Cross multiply
    2,650.82x = 3,970.07 × 2,558.55
  4. Step 4: Simplify right side
    2,650.82x = 10,157,609.81
  5. Step 5: Solve for x
    x = 10,157,609.81/2,650.82
  6. Step 6: Final answer
    x = 3,831.88

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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.