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Finding the Fourth Proportional to 2,633.88, 3,946.50 and 901.56

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Solution

The fourth proportional to 2,633.88, 3,946.50 and 901.56 is: 1,350.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,633.88 : 3,946.50 = 901.56 : x
  2. Step 2: Convert to fraction form
    2,633.88/3,946.50 = 901.56/x
  3. Step 3: Cross multiply
    2,633.88x = 3,946.50 × 901.56
  4. Step 4: Simplify right side
    2,633.88x = 3,558,006.54
  5. Step 5: Solve for x
    x = 3,558,006.54/2,633.88
  6. Step 6: Final answer
    x = 1,350.86

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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.