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Finding the Fourth Proportional to 2,504.88, 3,760.56 and 2,122.56

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Solution

The fourth proportional to 2,504.88, 3,760.56 and 2,122.56 is: 3,186.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,504.88 : 3,760.56 = 2,122.56 : x
  2. Step 2: Convert to fraction form
    2,504.88/3,760.56 = 2,122.56/x
  3. Step 3: Cross multiply
    2,504.88x = 3,760.56 × 2,122.56
  4. Step 4: Simplify right side
    2,504.88x = 7,982,014.23
  5. Step 5: Solve for x
    x = 7,982,014.23/2,504.88
  6. Step 6: Final answer
    x = 3,186.59

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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.