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Finding the Fourth Proportional to 2,452.75, 3,679.94 and 991.11

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Solution

The fourth proportional to 2,452.75, 3,679.94 and 991.11 is: 1,486.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,452.75 : 3,679.94 = 991.11 : x
  2. Step 2: Convert to fraction form
    2,452.75/3,679.94 = 991.11/x
  3. Step 3: Cross multiply
    2,452.75x = 3,679.94 × 991.11
  4. Step 4: Simplify right side
    2,452.75x = 3,647,225.33
  5. Step 5: Solve for x
    x = 3,647,225.33/2,452.75
  6. Step 6: Final answer
    x = 1,486.99

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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.