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Finding the Fourth Proportional to 2,611.24, 3,918.75 and 968.02

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Solution

The fourth proportional to 2,611.24, 3,918.75 and 968.02 is: 1,452.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,611.24 : 3,918.75 = 968.02 : x
  2. Step 2: Convert to fraction form
    2,611.24/3,918.75 = 968.02/x
  3. Step 3: Cross multiply
    2,611.24x = 3,918.75 × 968.02
  4. Step 4: Simplify right side
    2,611.24x = 3,793,418.58
  5. Step 5: Solve for x
    x = 3,793,418.58/2,611.24
  6. Step 6: Final answer
    x = 1,452.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.