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Finding the Fourth Proportional to 2,653.62, 3,993.76 and 1,998.89

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Solution

The fourth proportional to 2,653.62, 3,993.76 and 1,998.89 is: 3,008.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,653.62 : 3,993.76 = 1,998.89 : x
  2. Step 2: Convert to fraction form
    2,653.62/3,993.76 = 1,998.89/x
  3. Step 3: Cross multiply
    2,653.62x = 3,993.76 × 1,998.89
  4. Step 4: Simplify right side
    2,653.62x = 7,983,073.19
  5. Step 5: Solve for x
    x = 7,983,073.19/2,653.62
  6. Step 6: Final answer
    x = 3,008.37

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.