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Finding the Fourth Proportional to 2,293.79, 3,439.81 and 978.16

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Solution

The fourth proportional to 2,293.79, 3,439.81 and 978.16 is: 1,466.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,293.79 : 3,439.81 = 978.16 : x
  2. Step 2: Convert to fraction form
    2,293.79/3,439.81 = 978.16/x
  3. Step 3: Cross multiply
    2,293.79x = 3,439.81 × 978.16
  4. Step 4: Simplify right side
    2,293.79x = 3,364,684.55
  5. Step 5: Solve for x
    x = 3,364,684.55/2,293.79
  6. Step 6: Final answer
    x = 1,466.87

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