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Finding the Fourth Proportional to 2,831.84, 3,908.40 and 2,365.92

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Solution

The fourth proportional to 2,831.84, 3,908.40 and 2,365.92 is: 3,265.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,831.84 : 3,908.40 = 2,365.92 : x
  2. Step 2: Convert to fraction form
    2,831.84/3,908.40 = 2,365.92/x
  3. Step 3: Cross multiply
    2,831.84x = 3,908.40 × 2,365.92
  4. Step 4: Simplify right side
    2,831.84x = 9,246,961.73
  5. Step 5: Solve for x
    x = 9,246,961.73/2,831.84
  6. Step 6: Final answer
    x = 3,265.35

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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.