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Finding the Fourth Proportional to 2,409.75, 3,615.02 and 850.17

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Solution

The fourth proportional to 2,409.75, 3,615.02 and 850.17 is: 1,275.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,409.75 : 3,615.02 = 850.17 : x
  2. Step 2: Convert to fraction form
    2,409.75/3,615.02 = 850.17/x
  3. Step 3: Cross multiply
    2,409.75x = 3,615.02 × 850.17
  4. Step 4: Simplify right side
    2,409.75x = 3,073,377.30
  5. Step 5: Solve for x
    x = 3,073,377.30/2,409.75
  6. Step 6: Final answer
    x = 1,275.39

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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.