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Finding the Fourth Proportional to 2,138.45, 3,207.85 and 657.63

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Solution

The fourth proportional to 2,138.45, 3,207.85 and 657.63 is: 986.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.45 : 3,207.85 = 657.63 : x
  2. Step 2: Convert to fraction form
    2,138.45/3,207.85 = 657.63/x
  3. Step 3: Cross multiply
    2,138.45x = 3,207.85 × 657.63
  4. Step 4: Simplify right side
    2,138.45x = 2,109,576.75
  5. Step 5: Solve for x
    x = 2,109,576.75/2,138.45
  6. Step 6: Final answer
    x = 986.50

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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.