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Finding the Fourth Proportional to 2,128.84, 3,191.77 and 1,513.78

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Solution

The fourth proportional to 2,128.84, 3,191.77 and 1,513.78 is: 2,269.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,128.84 : 3,191.77 = 1,513.78 : x
  2. Step 2: Convert to fraction form
    2,128.84/3,191.77 = 1,513.78/x
  3. Step 3: Cross multiply
    2,128.84x = 3,191.77 × 1,513.78
  4. Step 4: Simplify right side
    2,128.84x = 4,831,637.59
  5. Step 5: Solve for x
    x = 4,831,637.59/2,128.84
  6. Step 6: Final answer
    x = 2,269.61

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