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Finding the Fourth Proportional to 2,452.70, 3,679.11 and 1,064.99

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Solution

The fourth proportional to 2,452.70, 3,679.11 and 1,064.99 is: 1,597.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,452.70 : 3,679.11 = 1,064.99 : x
  2. Step 2: Convert to fraction form
    2,452.70/3,679.11 = 1,064.99/x
  3. Step 3: Cross multiply
    2,452.70x = 3,679.11 × 1,064.99
  4. Step 4: Simplify right side
    2,452.70x = 3,918,196.96
  5. Step 5: Solve for x
    x = 3,918,196.96/2,452.70
  6. Step 6: Final answer
    x = 1,597.51

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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.