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Finding the Fourth Proportional to 2,553.85, 3,825.60 and 2,341.22

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Solution

The fourth proportional to 2,553.85, 3,825.60 and 2,341.22 is: 3,507.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,553.85 : 3,825.60 = 2,341.22 : x
  2. Step 2: Convert to fraction form
    2,553.85/3,825.60 = 2,341.22/x
  3. Step 3: Cross multiply
    2,553.85x = 3,825.60 × 2,341.22
  4. Step 4: Simplify right side
    2,553.85x = 8,956,584.60
  5. Step 5: Solve for x
    x = 8,956,584.60/2,553.85
  6. Step 6: Final answer
    x = 3,507.10

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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.