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Finding the Fourth Proportional to 1,693.72, 2,538.93 and 652.90

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Solution

The fourth proportional to 1,693.72, 2,538.93 and 652.90 is: 978.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,693.72 : 2,538.93 = 652.90 : x
  2. Step 2: Convert to fraction form
    1,693.72/2,538.93 = 652.90/x
  3. Step 3: Cross multiply
    1,693.72x = 2,538.93 × 652.90
  4. Step 4: Simplify right side
    1,693.72x = 1,657,667.40
  5. Step 5: Solve for x
    x = 1,657,667.40/1,693.72
  6. Step 6: Final answer
    x = 978.71

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