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Finding the Fourth Proportional to 2,633.14, 3,633.90 and 1,454.22

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Solution

The fourth proportional to 2,633.14, 3,633.90 and 1,454.22 is: 2,006.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,633.14 : 3,633.90 = 1,454.22 : x
  2. Step 2: Convert to fraction form
    2,633.14/3,633.90 = 1,454.22/x
  3. Step 3: Cross multiply
    2,633.14x = 3,633.90 × 1,454.22
  4. Step 4: Simplify right side
    2,633.14x = 5,284,490.06
  5. Step 5: Solve for x
    x = 5,284,490.06/2,633.14
  6. Step 6: Final answer
    x = 2,006.92

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