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Finding the Fourth Proportional to 2,533.89, 3,800.97 and 2,395.38

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Solution

The fourth proportional to 2,533.89, 3,800.97 and 2,395.38 is: 3,593.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,533.89 : 3,800.97 = 2,395.38 : x
  2. Step 2: Convert to fraction form
    2,533.89/3,800.97 = 2,395.38/x
  3. Step 3: Cross multiply
    2,533.89x = 3,800.97 × 2,395.38
  4. Step 4: Simplify right side
    2,533.89x = 9,104,767.52
  5. Step 5: Solve for x
    x = 9,104,767.52/2,533.89
  6. Step 6: Final answer
    x = 3,593.20

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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.