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Finding the Fourth Proportional to 2,600.56, 3,900.96 and 1,445.44

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Solution

The fourth proportional to 2,600.56, 3,900.96 and 1,445.44 is: 2,168.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,600.56 : 3,900.96 = 1,445.44 : x
  2. Step 2: Convert to fraction form
    2,600.56/3,900.96 = 1,445.44/x
  3. Step 3: Cross multiply
    2,600.56x = 3,900.96 × 1,445.44
  4. Step 4: Simplify right side
    2,600.56x = 5,638,603.62
  5. Step 5: Solve for x
    x = 5,638,603.62/2,600.56
  6. Step 6: Final answer
    x = 2,168.23

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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.