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Finding the Fourth Proportional to 2,632.87, 3,633.34 and 1,453.92

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Solution

The fourth proportional to 2,632.87, 3,633.34 and 1,453.92 is: 2,006.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,632.87 : 3,633.34 = 1,453.92 : x
  2. Step 2: Convert to fraction form
    2,632.87/3,633.34 = 1,453.92/x
  3. Step 3: Cross multiply
    2,632.87x = 3,633.34 × 1,453.92
  4. Step 4: Simplify right side
    2,632.87x = 5,282,562.07
  5. Step 5: Solve for x
    x = 5,282,562.07/2,632.87
  6. Step 6: Final answer
    x = 2,006.39

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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.