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Finding the Fourth Proportional to 2,452.12, 3,678.32 and 808.67

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Solution

The fourth proportional to 2,452.12, 3,678.32 and 808.67 is: 1,213.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,452.12 : 3,678.32 = 808.67 : x
  2. Step 2: Convert to fraction form
    2,452.12/3,678.32 = 808.67/x
  3. Step 3: Cross multiply
    2,452.12x = 3,678.32 × 808.67
  4. Step 4: Simplify right side
    2,452.12x = 2,974,558.25
  5. Step 5: Solve for x
    x = 2,974,558.25/2,452.12
  6. Step 6: Final answer
    x = 1,213.06

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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.