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Finding the Fourth Proportional to 1,584.43, 2,376.47 and 1,064.70

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Solution

The fourth proportional to 1,584.43, 2,376.47 and 1,064.70 is: 1,596.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584.43 : 2,376.47 = 1,064.70 : x
  2. Step 2: Convert to fraction form
    1,584.43/2,376.47 = 1,064.70/x
  3. Step 3: Cross multiply
    1,584.43x = 2,376.47 × 1,064.70
  4. Step 4: Simplify right side
    1,584.43x = 2,530,230.27
  5. Step 5: Solve for x
    x = 2,530,230.27/1,584.43
  6. Step 6: Final answer
    x = 1,596.94

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