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Finding the Fourth Proportional to 2,632.86, 3,949.50 and 901.50

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Solution

The fourth proportional to 2,632.86, 3,949.50 and 901.50 is: 1,352.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,632.86 : 3,949.50 = 901.50 : x
  2. Step 2: Convert to fraction form
    2,632.86/3,949.50 = 901.50/x
  3. Step 3: Cross multiply
    2,632.86x = 3,949.50 × 901.50
  4. Step 4: Simplify right side
    2,632.86x = 3,560,474.25
  5. Step 5: Solve for x
    x = 3,560,474.25/2,632.86
  6. Step 6: Final answer
    x = 1,352.32

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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.