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Finding the Fourth Proportional to 3,076.41, 4,609.74 and 1,614.09

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Solution

The fourth proportional to 3,076.41, 4,609.74 and 1,614.09 is: 2,418.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,076.41 : 4,609.74 = 1,614.09 : x
  2. Step 2: Convert to fraction form
    3,076.41/4,609.74 = 1,614.09/x
  3. Step 3: Cross multiply
    3,076.41x = 4,609.74 × 1,614.09
  4. Step 4: Simplify right side
    3,076.41x = 7,440,535.24
  5. Step 5: Solve for x
    x = 7,440,535.24/3,076.41
  6. Step 6: Final answer
    x = 2,418.58

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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.