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Finding the Fourth Proportional to 3,076.75, 4,245.54 and 1,732.20

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Solution

The fourth proportional to 3,076.75, 4,245.54 and 1,732.20 is: 2,390.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,076.75 : 4,245.54 = 1,732.20 : x
  2. Step 2: Convert to fraction form
    3,076.75/4,245.54 = 1,732.20/x
  3. Step 3: Cross multiply
    3,076.75x = 4,245.54 × 1,732.20
  4. Step 4: Simplify right side
    3,076.75x = 7,354,124.39
  5. Step 5: Solve for x
    x = 7,354,124.39/3,076.75
  6. Step 6: Final answer
    x = 2,390.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.