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Finding the Fourth Proportional to 2,414.52, 3,619.93 and 770.09

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Solution

The fourth proportional to 2,414.52, 3,619.93 and 770.09 is: 1,154.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,414.52 : 3,619.93 = 770.09 : x
  2. Step 2: Convert to fraction form
    2,414.52/3,619.93 = 770.09/x
  3. Step 3: Cross multiply
    2,414.52x = 3,619.93 × 770.09
  4. Step 4: Simplify right side
    2,414.52x = 2,787,671.89
  5. Step 5: Solve for x
    x = 2,787,671.89/2,414.52
  6. Step 6: Final answer
    x = 1,154.54

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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.