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Finding the Fourth Proportional to 3,076.62, 4,617.68 and 1,434.09

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Solution

The fourth proportional to 3,076.62, 4,617.68 and 1,434.09 is: 2,152.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,076.62 : 4,617.68 = 1,434.09 : x
  2. Step 2: Convert to fraction form
    3,076.62/4,617.68 = 1,434.09/x
  3. Step 3: Cross multiply
    3,076.62x = 4,617.68 × 1,434.09
  4. Step 4: Simplify right side
    3,076.62x = 6,622,161.54
  5. Step 5: Solve for x
    x = 6,622,161.54/3,076.62
  6. Step 6: Final answer
    x = 2,152.41

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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.