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Finding the Fourth Proportional to 3,076.92, 4,616.53 and 1,845.18

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Solution

The fourth proportional to 3,076.92, 4,616.53 and 1,845.18 is: 2,768.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,076.92 : 4,616.53 = 1,845.18 : x
  2. Step 2: Convert to fraction form
    3,076.92/4,616.53 = 1,845.18/x
  3. Step 3: Cross multiply
    3,076.92x = 4,616.53 × 1,845.18
  4. Step 4: Simplify right side
    3,076.92x = 8,518,324.21
  5. Step 5: Solve for x
    x = 8,518,324.21/3,076.92
  6. Step 6: Final answer
    x = 2,768.46

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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.