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Finding the Fourth Proportional to 2,367, 3,551.34 and 1,716.60

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Solution

The fourth proportional to 2,367, 3,551.34 and 1,716.60 is: 2,575.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,367 : 3,551.34 = 1,716.60 : x
  2. Step 2: Convert to fraction form
    2,367/3,551.34 = 1,716.60/x
  3. Step 3: Cross multiply
    2,367x = 3,551.34 × 1,716.60
  4. Step 4: Simplify right side
    2,367x = 6,096,230.24
  5. Step 5: Solve for x
    x = 6,096,230.24/2,367
  6. Step 6: Final answer
    x = 2,575.51

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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.