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Finding the Fourth Proportional to 1,584.97, 2,188.82 and 1,306.13

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Solution

The fourth proportional to 1,584.97, 2,188.82 and 1,306.13 is: 1,803.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584.97 : 2,188.82 = 1,306.13 : x
  2. Step 2: Convert to fraction form
    1,584.97/2,188.82 = 1,306.13/x
  3. Step 3: Cross multiply
    1,584.97x = 2,188.82 × 1,306.13
  4. Step 4: Simplify right side
    1,584.97x = 2,858,875.79
  5. Step 5: Solve for x
    x = 2,858,875.79/1,584.97
  6. Step 6: Final answer
    x = 1,803.74

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