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Finding the Fourth Proportional to 2,452.03, 3,677.27 and 808.27

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Solution

The fourth proportional to 2,452.03, 3,677.27 and 808.27 is: 1,212.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,452.03 : 3,677.27 = 808.27 : x
  2. Step 2: Convert to fraction form
    2,452.03/3,677.27 = 808.27/x
  3. Step 3: Cross multiply
    2,452.03x = 3,677.27 × 808.27
  4. Step 4: Simplify right side
    2,452.03x = 2,972,222.98
  5. Step 5: Solve for x
    x = 2,972,222.98/2,452.03
  6. Step 6: Final answer
    x = 1,212.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.