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Finding the Fourth Proportional to 2,584.48, 3,870.34 and 1,352.93

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Solution

The fourth proportional to 2,584.48, 3,870.34 and 1,352.93 is: 2,026.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,584.48 : 3,870.34 = 1,352.93 : x
  2. Step 2: Convert to fraction form
    2,584.48/3,870.34 = 1,352.93/x
  3. Step 3: Cross multiply
    2,584.48x = 3,870.34 × 1,352.93
  4. Step 4: Simplify right side
    2,584.48x = 5,236,299.10
  5. Step 5: Solve for x
    x = 5,236,299.10/2,584.48
  6. Step 6: Final answer
    x = 2,026.06

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