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Finding the Fourth Proportional to 2,452.17, 3,676.89 and 808.26

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Solution

The fourth proportional to 2,452.17, 3,676.89 and 808.26 is: 1,211.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,452.17 : 3,676.89 = 808.26 : x
  2. Step 2: Convert to fraction form
    2,452.17/3,676.89 = 808.26/x
  3. Step 3: Cross multiply
    2,452.17x = 3,676.89 × 808.26
  4. Step 4: Simplify right side
    2,452.17x = 2,971,883.11
  5. Step 5: Solve for x
    x = 2,971,883.11/2,452.17
  6. Step 6: Final answer
    x = 1,211.94

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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.