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Finding the Fourth Proportional to 2,412.46, 3,618.62 and 769.10

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Solution

The fourth proportional to 2,412.46, 3,618.62 and 769.10 is: 1,153.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,412.46 : 3,618.62 = 769.10 : x
  2. Step 2: Convert to fraction form
    2,412.46/3,618.62 = 769.10/x
  3. Step 3: Cross multiply
    2,412.46x = 3,618.62 × 769.10
  4. Step 4: Simplify right side
    2,412.46x = 2,783,076.80
  5. Step 5: Solve for x
    x = 2,783,076.80/2,412.46
  6. Step 6: Final answer
    x = 1,153.63

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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.