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Finding the Fourth Proportional to 2,584.58, 3,875.45 and 1,024.52

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Solution

The fourth proportional to 2,584.58, 3,875.45 and 1,024.52 is: 1,536.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,584.58 : 3,875.45 = 1,024.52 : x
  2. Step 2: Convert to fraction form
    2,584.58/3,875.45 = 1,024.52/x
  3. Step 3: Cross multiply
    2,584.58x = 3,875.45 × 1,024.52
  4. Step 4: Simplify right side
    2,584.58x = 3,970,451.53
  5. Step 5: Solve for x
    x = 3,970,451.53/2,584.58
  6. Step 6: Final answer
    x = 1,536.21

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