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Finding the Fourth Proportional to 1,709.60, 2,561.16 and 978.80

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Solution

The fourth proportional to 1,709.60, 2,561.16 and 978.80 is: 1,466.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,709.60 : 2,561.16 = 978.80 : x
  2. Step 2: Convert to fraction form
    1,709.60/2,561.16 = 978.80/x
  3. Step 3: Cross multiply
    1,709.60x = 2,561.16 × 978.80
  4. Step 4: Simplify right side
    1,709.60x = 2,506,863.41
  5. Step 5: Solve for x
    x = 2,506,863.41/1,709.60
  6. Step 6: Final answer
    x = 1,466.34

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