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Finding the Fourth Proportional to 2,452.35, 3,680.16 and 1,220.85

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Solution

The fourth proportional to 2,452.35, 3,680.16 and 1,220.85 is: 1,832.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,452.35 : 3,680.16 = 1,220.85 : x
  2. Step 2: Convert to fraction form
    2,452.35/3,680.16 = 1,220.85/x
  3. Step 3: Cross multiply
    2,452.35x = 3,680.16 × 1,220.85
  4. Step 4: Simplify right side
    2,452.35x = 4,492,923.34
  5. Step 5: Solve for x
    x = 4,492,923.34/2,452.35
  6. Step 6: Final answer
    x = 1,832.09

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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.