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Finding the Fourth Proportional to 2,553.56, 3,825.02 and 2,465.44

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Solution

The fourth proportional to 2,553.56, 3,825.02 and 2,465.44 is: 3,693.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,553.56 : 3,825.02 = 2,465.44 : x
  2. Step 2: Convert to fraction form
    2,553.56/3,825.02 = 2,465.44/x
  3. Step 3: Cross multiply
    2,553.56x = 3,825.02 × 2,465.44
  4. Step 4: Simplify right side
    2,553.56x = 9,430,353.91
  5. Step 5: Solve for x
    x = 9,430,353.91/2,553.56
  6. Step 6: Final answer
    x = 3,693.02

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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.