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Finding the Fourth Proportional to 2,480.42, 3,674.22 and 2,452.78

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Solution

The fourth proportional to 2,480.42, 3,674.22 and 2,452.78 is: 3,633.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,480.42 : 3,674.22 = 2,452.78 : x
  2. Step 2: Convert to fraction form
    2,480.42/3,674.22 = 2,452.78/x
  3. Step 3: Cross multiply
    2,480.42x = 3,674.22 × 2,452.78
  4. Step 4: Simplify right side
    2,480.42x = 9,012,053.33
  5. Step 5: Solve for x
    x = 9,012,053.33/2,480.42
  6. Step 6: Final answer
    x = 3,633.28

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.