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Finding the Fourth Proportional to 1,575.78, 2,360.25 and 1,026.33

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Solution

The fourth proportional to 1,575.78, 2,360.25 and 1,026.33 is: 1,537.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,575.78 : 2,360.25 = 1,026.33 : x
  2. Step 2: Convert to fraction form
    1,575.78/2,360.25 = 1,026.33/x
  3. Step 3: Cross multiply
    1,575.78x = 2,360.25 × 1,026.33
  4. Step 4: Simplify right side
    1,575.78x = 2,422,395.38
  5. Step 5: Solve for x
    x = 2,422,395.38/1,575.78
  6. Step 6: Final answer
    x = 1,537.27

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