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Finding the Fourth Proportional to 1,594.74, 2,392.58 and 978.84

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Solution

The fourth proportional to 1,594.74, 2,392.58 and 978.84 is: 1,468.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,594.74 : 2,392.58 = 978.84 : x
  2. Step 2: Convert to fraction form
    1,594.74/2,392.58 = 978.84/x
  3. Step 3: Cross multiply
    1,594.74x = 2,392.58 × 978.84
  4. Step 4: Simplify right side
    1,594.74x = 2,341,948.11
  5. Step 5: Solve for x
    x = 2,341,948.11/1,594.74
  6. Step 6: Final answer
    x = 1,468.55

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