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Finding the Fourth Proportional to 2,831.97, 3,906.72 and 1,712.16

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Solution

The fourth proportional to 2,831.97, 3,906.72 and 1,712.16 is: 2,361.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,831.97 : 3,906.72 = 1,712.16 : x
  2. Step 2: Convert to fraction form
    2,831.97/3,906.72 = 1,712.16/x
  3. Step 3: Cross multiply
    2,831.97x = 3,906.72 × 1,712.16
  4. Step 4: Simplify right side
    2,831.97x = 6,688,929.72
  5. Step 5: Solve for x
    x = 6,688,929.72/2,831.97
  6. Step 6: Final answer
    x = 2,361.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.