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Finding the Fourth Proportional to 1,597.76, 2,396.32 and 856.88

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Solution

The fourth proportional to 1,597.76, 2,396.32 and 856.88 is: 1,285.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,597.76 : 2,396.32 = 856.88 : x
  2. Step 2: Convert to fraction form
    1,597.76/2,396.32 = 856.88/x
  3. Step 3: Cross multiply
    1,597.76x = 2,396.32 × 856.88
  4. Step 4: Simplify right side
    1,597.76x = 2,053,358.68
  5. Step 5: Solve for x
    x = 2,053,358.68/1,597.76
  6. Step 6: Final answer
    x = 1,285.15

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