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Finding the Fourth Proportional to 2,452.33, 3,679.10 and 2,014.32

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Solution

The fourth proportional to 2,452.33, 3,679.10 and 2,014.32 is: 3,021.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,452.33 : 3,679.10 = 2,014.32 : x
  2. Step 2: Convert to fraction form
    2,452.33/3,679.10 = 2,014.32/x
  3. Step 3: Cross multiply
    2,452.33x = 3,679.10 × 2,014.32
  4. Step 4: Simplify right side
    2,452.33x = 7,410,884.71
  5. Step 5: Solve for x
    x = 7,410,884.71/2,452.33
  6. Step 6: Final answer
    x = 3,021.98

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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.