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Finding the Fourth Proportional to 2,138.94, 3,207.85 and 905.72

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Solution

The fourth proportional to 2,138.94, 3,207.85 and 905.72 is: 1,358.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.94 : 3,207.85 = 905.72 : x
  2. Step 2: Convert to fraction form
    2,138.94/3,207.85 = 905.72/x
  3. Step 3: Cross multiply
    2,138.94x = 3,207.85 × 905.72
  4. Step 4: Simplify right side
    2,138.94x = 2,905,400.69
  5. Step 5: Solve for x
    x = 2,905,400.69/2,138.94
  6. Step 6: Final answer
    x = 1,358.34

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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.