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Finding the Fourth Proportional to 3,076.81, 4,614.23 and 1,615.16

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Solution

The fourth proportional to 3,076.81, 4,614.23 and 1,615.16 is: 2,422.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,076.81 : 4,614.23 = 1,615.16 : x
  2. Step 2: Convert to fraction form
    3,076.81/4,614.23 = 1,615.16/x
  3. Step 3: Cross multiply
    3,076.81x = 4,614.23 × 1,615.16
  4. Step 4: Simplify right side
    3,076.81x = 7,452,735.30
  5. Step 5: Solve for x
    x = 7,452,735.30/3,076.81
  6. Step 6: Final answer
    x = 2,422.23

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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.