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Finding the Fourth Proportional to 3,297.08, 4,945.49 and 831.87

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Solution

The fourth proportional to 3,297.08, 4,945.49 and 831.87 is: 1,247.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,297.08 : 4,945.49 = 831.87 : x
  2. Step 2: Convert to fraction form
    3,297.08/4,945.49 = 831.87/x
  3. Step 3: Cross multiply
    3,297.08x = 4,945.49 × 831.87
  4. Step 4: Simplify right side
    3,297.08x = 4,114,004.77
  5. Step 5: Solve for x
    x = 4,114,004.77/3,297.08
  6. Step 6: Final answer
    x = 1,247.77

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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.