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Finding the Fourth Proportional to 2,138.81, 3,205.78 and 905.45

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Solution

The fourth proportional to 2,138.81, 3,205.78 and 905.45 is: 1,357.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.81 : 3,205.78 = 905.45 : x
  2. Step 2: Convert to fraction form
    2,138.81/3,205.78 = 905.45/x
  3. Step 3: Cross multiply
    2,138.81x = 3,205.78 × 905.45
  4. Step 4: Simplify right side
    2,138.81x = 2,902,673.50
  5. Step 5: Solve for x
    x = 2,902,673.50/2,138.81
  6. Step 6: Final answer
    x = 1,357.14

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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.