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Finding the Fourth Proportional to 2,824.79, 3,898.19 and 1,565.84

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Solution

The fourth proportional to 2,824.79, 3,898.19 and 1,565.84 is: 2,160.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,824.79 : 3,898.19 = 1,565.84 : x
  2. Step 2: Convert to fraction form
    2,824.79/3,898.19 = 1,565.84/x
  3. Step 3: Cross multiply
    2,824.79x = 3,898.19 × 1,565.84
  4. Step 4: Simplify right side
    2,824.79x = 6,103,955.49
  5. Step 5: Solve for x
    x = 6,103,955.49/2,824.79
  6. Step 6: Final answer
    x = 2,160.86

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