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Finding the Fourth Proportional to 1,975.29, 2,962.52 and 742.67

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Solution

The fourth proportional to 1,975.29, 2,962.52 and 742.67 is: 1,113.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,975.29 : 2,962.52 = 742.67 : x
  2. Step 2: Convert to fraction form
    1,975.29/2,962.52 = 742.67/x
  3. Step 3: Cross multiply
    1,975.29x = 2,962.52 × 742.67
  4. Step 4: Simplify right side
    1,975.29x = 2,200,174.27
  5. Step 5: Solve for x
    x = 2,200,174.27/1,975.29
  6. Step 6: Final answer
    x = 1,113.85

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