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Finding the Fourth Proportional to 2,316.80, 3,468.15 and 1,584.32

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Solution

The fourth proportional to 2,316.80, 3,468.15 and 1,584.32 is: 2,371.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,316.80 : 3,468.15 = 1,584.32 : x
  2. Step 2: Convert to fraction form
    2,316.80/3,468.15 = 1,584.32/x
  3. Step 3: Cross multiply
    2,316.80x = 3,468.15 × 1,584.32
  4. Step 4: Simplify right side
    2,316.80x = 5,494,659.41
  5. Step 5: Solve for x
    x = 5,494,659.41/2,316.80
  6. Step 6: Final answer
    x = 2,371.66

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