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Finding the Fourth Proportional to 3,076.90, 4,615.09 and 1,843.40

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Solution

The fourth proportional to 3,076.90, 4,615.09 and 1,843.40 is: 2,764.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,076.90 : 4,615.09 = 1,843.40 : x
  2. Step 2: Convert to fraction form
    3,076.90/4,615.09 = 1,843.40/x
  3. Step 3: Cross multiply
    3,076.90x = 4,615.09 × 1,843.40
  4. Step 4: Simplify right side
    3,076.90x = 8,507,463.84
  5. Step 5: Solve for x
    x = 8,507,463.84/3,076.90
  6. Step 6: Final answer
    x = 2,764.95

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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.