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Finding the Fourth Proportional to 2,632.84, 3,633.22 and 1,453.90

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Solution

The fourth proportional to 2,632.84, 3,633.22 and 1,453.90 is: 2,006.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,632.84 : 3,633.22 = 1,453.90 : x
  2. Step 2: Convert to fraction form
    2,632.84/3,633.22 = 1,453.90/x
  3. Step 3: Cross multiply
    2,632.84x = 3,633.22 × 1,453.90
  4. Step 4: Simplify right side
    2,632.84x = 5,282,338.56
  5. Step 5: Solve for x
    x = 5,282,338.56/2,632.84
  6. Step 6: Final answer
    x = 2,006.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.