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Finding the Fourth Proportional to 2,467.51, 3,404.54 and 1,584.50

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Solution

The fourth proportional to 2,467.51, 3,404.54 and 1,584.50 is: 2,186.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,467.51 : 3,404.54 = 1,584.50 : x
  2. Step 2: Convert to fraction form
    2,467.51/3,404.54 = 1,584.50/x
  3. Step 3: Cross multiply
    2,467.51x = 3,404.54 × 1,584.50
  4. Step 4: Simplify right side
    2,467.51x = 5,394,506.10
  5. Step 5: Solve for x
    x = 5,394,506.10/2,467.51
  6. Step 6: Final answer
    x = 2,186.22

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