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Finding the Fourth Proportional to 1,968.52, 2,952.78 and 1,586.20

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Solution

The fourth proportional to 1,968.52, 2,952.78 and 1,586.20 is: 2,379.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,968.52 : 2,952.78 = 1,586.20 : x
  2. Step 2: Convert to fraction form
    1,968.52/2,952.78 = 1,586.20/x
  3. Step 3: Cross multiply
    1,968.52x = 2,952.78 × 1,586.20
  4. Step 4: Simplify right side
    1,968.52x = 4,683,699.64
  5. Step 5: Solve for x
    x = 4,683,699.64/1,968.52
  6. Step 6: Final answer
    x = 2,379.30

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