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Finding the Fourth Proportional to 3,297.08, 4,945.26 and 831.90

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Solution

The fourth proportional to 3,297.08, 4,945.26 and 831.90 is: 1,247.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,297.08 : 4,945.26 = 831.90 : x
  2. Step 2: Convert to fraction form
    3,297.08/4,945.26 = 831.90/x
  3. Step 3: Cross multiply
    3,297.08x = 4,945.26 × 831.90
  4. Step 4: Simplify right side
    3,297.08x = 4,113,961.79
  5. Step 5: Solve for x
    x = 4,113,961.79/3,297.08
  6. Step 6: Final answer
    x = 1,247.76

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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.