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Finding the Fourth Proportional to 2,138.76, 2,951.91 and 1,352.25

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Solution

The fourth proportional to 2,138.76, 2,951.91 and 1,352.25 is: 1,866.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.76 : 2,951.91 = 1,352.25 : x
  2. Step 2: Convert to fraction form
    2,138.76/2,951.91 = 1,352.25/x
  3. Step 3: Cross multiply
    2,138.76x = 2,951.91 × 1,352.25
  4. Step 4: Simplify right side
    2,138.76x = 3,991,720.30
  5. Step 5: Solve for x
    x = 3,991,720.30/2,138.76
  6. Step 6: Final answer
    x = 1,866.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.