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Finding the Fourth Proportional to 2,831.46, 4,245.63 and 982.43

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Solution

The fourth proportional to 2,831.46, 4,245.63 and 982.43 is: 1,473.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,831.46 : 4,245.63 = 982.43 : x
  2. Step 2: Convert to fraction form
    2,831.46/4,245.63 = 982.43/x
  3. Step 3: Cross multiply
    2,831.46x = 4,245.63 × 982.43
  4. Step 4: Simplify right side
    2,831.46x = 4,171,013.05
  5. Step 5: Solve for x
    x = 4,171,013.05/2,831.46
  6. Step 6: Final answer
    x = 1,473.10

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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.