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Finding the Fourth Proportional to 2,564.14, 3,847.23 and 1,839.46

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Solution

The fourth proportional to 2,564.14, 3,847.23 and 1,839.46 is: 2,759.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,564.14 : 3,847.23 = 1,839.46 : x
  2. Step 2: Convert to fraction form
    2,564.14/3,847.23 = 1,839.46/x
  3. Step 3: Cross multiply
    2,564.14x = 3,847.23 × 1,839.46
  4. Step 4: Simplify right side
    2,564.14x = 7,076,825.70
  5. Step 5: Solve for x
    x = 7,076,825.70/2,564.14
  6. Step 6: Final answer
    x = 2,759.92

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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.