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Finding the Fourth Proportional to 1,987.83, 2,978.64 and 754.57

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Solution

The fourth proportional to 1,987.83, 2,978.64 and 754.57 is: 1,130.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,987.83 : 2,978.64 = 754.57 : x
  2. Step 2: Convert to fraction form
    1,987.83/2,978.64 = 754.57/x
  3. Step 3: Cross multiply
    1,987.83x = 2,978.64 × 754.57
  4. Step 4: Simplify right side
    1,987.83x = 2,247,592.38
  5. Step 5: Solve for x
    x = 2,247,592.38/1,987.83
  6. Step 6: Final answer
    x = 1,130.68

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