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Finding the Fourth Proportional to 1,584.26, 2,376.87 and 1,122.93

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Solution

The fourth proportional to 1,584.26, 2,376.87 and 1,122.93 is: 1,684.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584.26 : 2,376.87 = 1,122.93 : x
  2. Step 2: Convert to fraction form
    1,584.26/2,376.87 = 1,122.93/x
  3. Step 3: Cross multiply
    1,584.26x = 2,376.87 × 1,122.93
  4. Step 4: Simplify right side
    1,584.26x = 2,669,053.01
  5. Step 5: Solve for x
    x = 2,669,053.01/1,584.26
  6. Step 6: Final answer
    x = 1,684.74

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