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Finding the Fourth Proportional to 2,374.44, 3,563.46 and 1,076.80

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Solution

The fourth proportional to 2,374.44, 3,563.46 and 1,076.80 is: 1,616.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,374.44 : 3,563.46 = 1,076.80 : x
  2. Step 2: Convert to fraction form
    2,374.44/3,563.46 = 1,076.80/x
  3. Step 3: Cross multiply
    2,374.44x = 3,563.46 × 1,076.80
  4. Step 4: Simplify right side
    2,374.44x = 3,837,133.73
  5. Step 5: Solve for x
    x = 3,837,133.73/2,374.44
  6. Step 6: Final answer
    x = 1,616.02

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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.