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Finding the Fourth Proportional to 1,859.92, 2,566.76 and 1,032.08

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Solution

The fourth proportional to 1,859.92, 2,566.76 and 1,032.08 is: 1,424.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,859.92 : 2,566.76 = 1,032.08 : x
  2. Step 2: Convert to fraction form
    1,859.92/2,566.76 = 1,032.08/x
  3. Step 3: Cross multiply
    1,859.92x = 2,566.76 × 1,032.08
  4. Step 4: Simplify right side
    1,859.92x = 2,649,101.66
  5. Step 5: Solve for x
    x = 2,649,101.66/1,859.92
  6. Step 6: Final answer
    x = 1,424.31

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