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Finding the Fourth Proportional to 1,404.61, 2,105.91 and 1,009.52

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Solution

The fourth proportional to 1,404.61, 2,105.91 and 1,009.52 is: 1,513.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,404.61 : 2,105.91 = 1,009.52 : x
  2. Step 2: Convert to fraction form
    1,404.61/2,105.91 = 1,009.52/x
  3. Step 3: Cross multiply
    1,404.61x = 2,105.91 × 1,009.52
  4. Step 4: Simplify right side
    1,404.61x = 2,125,958.26
  5. Step 5: Solve for x
    x = 2,125,958.26/1,404.61
  6. Step 6: Final answer
    x = 1,513.56

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