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Finding the Fourth Proportional to 1,594.85, 2,392.16 and 978.62

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Solution

The fourth proportional to 1,594.85, 2,392.16 and 978.62 is: 1,467.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,594.85 : 2,392.16 = 978.62 : x
  2. Step 2: Convert to fraction form
    1,594.85/2,392.16 = 978.62/x
  3. Step 3: Cross multiply
    1,594.85x = 2,392.16 × 978.62
  4. Step 4: Simplify right side
    1,594.85x = 2,340,998.77
  5. Step 5: Solve for x
    x = 2,340,998.77/1,594.85
  6. Step 6: Final answer
    x = 1,467.85

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