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Finding the Fourth Proportional to 2,843.40, 4,259.52 and 2,533.80

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Solution

The fourth proportional to 2,843.40, 4,259.52 and 2,533.80 is: 3,795.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,843.40 : 4,259.52 = 2,533.80 : x
  2. Step 2: Convert to fraction form
    2,843.40/4,259.52 = 2,533.80/x
  3. Step 3: Cross multiply
    2,843.40x = 4,259.52 × 2,533.80
  4. Step 4: Simplify right side
    2,843.40x = 10,792,771.78
  5. Step 5: Solve for x
    x = 10,792,771.78/2,843.40
  6. Step 6: Final answer
    x = 3,795.73

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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.