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Finding the Fourth Proportional to 1,578.78, 2,365.38 and 1,031.04

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Solution

The fourth proportional to 1,578.78, 2,365.38 and 1,031.04 is: 1,544.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,578.78 : 2,365.38 = 1,031.04 : x
  2. Step 2: Convert to fraction form
    1,578.78/2,365.38 = 1,031.04/x
  3. Step 3: Cross multiply
    1,578.78x = 2,365.38 × 1,031.04
  4. Step 4: Simplify right side
    1,578.78x = 2,438,801.40
  5. Step 5: Solve for x
    x = 2,438,801.40/1,578.78
  6. Step 6: Final answer
    x = 1,544.74

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