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Finding the Fourth Proportional to 2,831.36, 4,246.22 and 982.40

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Solution

The fourth proportional to 2,831.36, 4,246.22 and 982.40 is: 1,473.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,831.36 : 4,246.22 = 982.40 : x
  2. Step 2: Convert to fraction form
    2,831.36/4,246.22 = 982.40/x
  3. Step 3: Cross multiply
    2,831.36x = 4,246.22 × 982.40
  4. Step 4: Simplify right side
    2,831.36x = 4,171,486.53
  5. Step 5: Solve for x
    x = 4,171,486.53/2,831.36
  6. Step 6: Final answer
    x = 1,473.32

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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.