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Finding the Fourth Proportional to 3,076.96, 4,615.90 and 1,616.23

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Solution

The fourth proportional to 3,076.96, 4,615.90 and 1,616.23 is: 2,424.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,076.96 : 4,615.90 = 1,616.23 : x
  2. Step 2: Convert to fraction form
    3,076.96/4,615.90 = 1,616.23/x
  3. Step 3: Cross multiply
    3,076.96x = 4,615.90 × 1,616.23
  4. Step 4: Simplify right side
    3,076.96x = 7,460,324.90
  5. Step 5: Solve for x
    x = 7,460,324.90/3,076.96
  6. Step 6: Final answer
    x = 2,424.58

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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.