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Finding the Fourth Proportional to 2,633, 3,949.50 and 901.76

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Solution

The fourth proportional to 2,633, 3,949.50 and 901.76 is: 1,352.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,633 : 3,949.50 = 901.76 : x
  2. Step 2: Convert to fraction form
    2,633/3,949.50 = 901.76/x
  3. Step 3: Cross multiply
    2,633x = 3,949.50 × 901.76
  4. Step 4: Simplify right side
    2,633x = 3,561,501.12
  5. Step 5: Solve for x
    x = 3,561,501.12/2,633
  6. Step 6: Final answer
    x = 1,352.64

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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.