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Finding the Fourth Proportional to 2,608.08, 3,919.16 and 2,442

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Solution

The fourth proportional to 2,608.08, 3,919.16 and 2,442 is: 3,669.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,608.08 : 3,919.16 = 2,442 : x
  2. Step 2: Convert to fraction form
    2,608.08/3,919.16 = 2,442/x
  3. Step 3: Cross multiply
    2,608.08x = 3,919.16 × 2,442
  4. Step 4: Simplify right side
    2,608.08x = 9,570,588.72
  5. Step 5: Solve for x
    x = 9,570,588.72/2,608.08
  6. Step 6: Final answer
    x = 3,669.59

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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.