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Finding the Fourth Proportional to 2,452.11, 3,678.69 and 808.57

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Solution

The fourth proportional to 2,452.11, 3,678.69 and 808.57 is: 1,213.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,452.11 : 3,678.69 = 808.57 : x
  2. Step 2: Convert to fraction form
    2,452.11/3,678.69 = 808.57/x
  3. Step 3: Cross multiply
    2,452.11x = 3,678.69 × 808.57
  4. Step 4: Simplify right side
    2,452.11x = 2,974,478.37
  5. Step 5: Solve for x
    x = 2,974,478.37/2,452.11
  6. Step 6: Final answer
    x = 1,213.03

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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.