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Finding the Fourth Proportional to 1,596.40, 2,391.98 and 978.80

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Solution

The fourth proportional to 1,596.40, 2,391.98 and 978.80 is: 1,466.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,596.40 : 2,391.98 = 978.80 : x
  2. Step 2: Convert to fraction form
    1,596.40/2,391.98 = 978.80/x
  3. Step 3: Cross multiply
    1,596.40x = 2,391.98 × 978.80
  4. Step 4: Simplify right side
    1,596.40x = 2,341,253.17
  5. Step 5: Solve for x
    x = 2,341,253.17/1,596.40
  6. Step 6: Final answer
    x = 1,466.59

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