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Finding the Fourth Proportional to 2,630.72, 3,946.26 and 900.56

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Solution

The fourth proportional to 2,630.72, 3,946.26 and 900.56 is: 1,350.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,630.72 : 3,946.26 = 900.56 : x
  2. Step 2: Convert to fraction form
    2,630.72/3,946.26 = 900.56/x
  3. Step 3: Cross multiply
    2,630.72x = 3,946.26 × 900.56
  4. Step 4: Simplify right side
    2,630.72x = 3,553,843.91
  5. Step 5: Solve for x
    x = 3,553,843.91/2,630.72
  6. Step 6: Final answer
    x = 1,350.90

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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.