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Finding the Fourth Proportional to 2,414.33, 3,622.13 and 770.91

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Solution

The fourth proportional to 2,414.33, 3,622.13 and 770.91 is: 1,156.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,414.33 : 3,622.13 = 770.91 : x
  2. Step 2: Convert to fraction form
    2,414.33/3,622.13 = 770.91/x
  3. Step 3: Cross multiply
    2,414.33x = 3,622.13 × 770.91
  4. Step 4: Simplify right side
    2,414.33x = 2,792,336.24
  5. Step 5: Solve for x
    x = 2,792,336.24/2,414.33
  6. Step 6: Final answer
    x = 1,156.57

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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.