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Finding the Fourth Proportional to 2,138.40, 3,207.91 and 968.80

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Solution

The fourth proportional to 2,138.40, 3,207.91 and 968.80 is: 1,453.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.40 : 3,207.91 = 968.80 : x
  2. Step 2: Convert to fraction form
    2,138.40/3,207.91 = 968.80/x
  3. Step 3: Cross multiply
    2,138.40x = 3,207.91 × 968.80
  4. Step 4: Simplify right side
    2,138.40x = 3,107,823.21
  5. Step 5: Solve for x
    x = 3,107,823.21/2,138.40
  6. Step 6: Final answer
    x = 1,453.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.