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Finding the Fourth Proportional to 2,414.69, 3,622.32 and 770.66

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Solution

The fourth proportional to 2,414.69, 3,622.32 and 770.66 is: 1,156.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,414.69 : 3,622.32 = 770.66 : x
  2. Step 2: Convert to fraction form
    2,414.69/3,622.32 = 770.66/x
  3. Step 3: Cross multiply
    2,414.69x = 3,622.32 × 770.66
  4. Step 4: Simplify right side
    2,414.69x = 2,791,577.13
  5. Step 5: Solve for x
    x = 2,791,577.13/2,414.69
  6. Step 6: Final answer
    x = 1,156.08

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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.