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Finding the Fourth Proportional to 1,865.78, 2,574.36 and 1,158.20

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Solution

The fourth proportional to 1,865.78, 2,574.36 and 1,158.20 is: 1,598.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,865.78 : 2,574.36 = 1,158.20 : x
  2. Step 2: Convert to fraction form
    1,865.78/2,574.36 = 1,158.20/x
  3. Step 3: Cross multiply
    1,865.78x = 2,574.36 × 1,158.20
  4. Step 4: Simplify right side
    1,865.78x = 2,981,623.75
  5. Step 5: Solve for x
    x = 2,981,623.75/1,865.78
  6. Step 6: Final answer
    x = 1,598.06

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