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Finding the Fourth Proportional to 2,533.44, 3,800.67 and 1,072.59

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Solution

The fourth proportional to 2,533.44, 3,800.67 and 1,072.59 is: 1,609.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,533.44 : 3,800.67 = 1,072.59 : x
  2. Step 2: Convert to fraction form
    2,533.44/3,800.67 = 1,072.59/x
  3. Step 3: Cross multiply
    2,533.44x = 3,800.67 × 1,072.59
  4. Step 4: Simplify right side
    2,533.44x = 4,076,560.64
  5. Step 5: Solve for x
    x = 4,076,560.64/2,533.44
  6. Step 6: Final answer
    x = 1,609.10

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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.