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Finding the Fourth Proportional to 2,414.18, 3,621.54 and 770.14

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Solution

The fourth proportional to 2,414.18, 3,621.54 and 770.14 is: 1,155.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,414.18 : 3,621.54 = 770.14 : x
  2. Step 2: Convert to fraction form
    2,414.18/3,621.54 = 770.14/x
  3. Step 3: Cross multiply
    2,414.18x = 3,621.54 × 770.14
  4. Step 4: Simplify right side
    2,414.18x = 2,789,092.82
  5. Step 5: Solve for x
    x = 2,789,092.82/2,414.18
  6. Step 6: Final answer
    x = 1,155.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.