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Finding the Fourth Proportional to 2,017.38, 3,025.99 and 831.39

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Solution

The fourth proportional to 2,017.38, 3,025.99 and 831.39 is: 1,247.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,017.38 : 3,025.99 = 831.39 : x
  2. Step 2: Convert to fraction form
    2,017.38/3,025.99 = 831.39/x
  3. Step 3: Cross multiply
    2,017.38x = 3,025.99 × 831.39
  4. Step 4: Simplify right side
    2,017.38x = 2,515,777.83
  5. Step 5: Solve for x
    x = 2,515,777.83/2,017.38
  6. Step 6: Final answer
    x = 1,247.05

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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.