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Finding the Fourth Proportional to 2,138.06, 3,206.55 and 967.40

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Solution

The fourth proportional to 2,138.06, 3,206.55 and 967.40 is: 1,450.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.06 : 3,206.55 = 967.40 : x
  2. Step 2: Convert to fraction form
    2,138.06/3,206.55 = 967.40/x
  3. Step 3: Cross multiply
    2,138.06x = 3,206.55 × 967.40
  4. Step 4: Simplify right side
    2,138.06x = 3,102,016.47
  5. Step 5: Solve for x
    x = 3,102,016.47/2,138.06
  6. Step 6: Final answer
    x = 1,450.86

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Why These Related Problems?

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