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Finding the Fourth Proportional to 2,755.48, 4,123.32 and 2,023.24

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Solution

The fourth proportional to 2,755.48, 4,123.32 and 2,023.24 is: 3,027.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,755.48 : 4,123.32 = 2,023.24 : x
  2. Step 2: Convert to fraction form
    2,755.48/4,123.32 = 2,023.24/x
  3. Step 3: Cross multiply
    2,755.48x = 4,123.32 × 2,023.24
  4. Step 4: Simplify right side
    2,755.48x = 8,342,465.96
  5. Step 5: Solve for x
    x = 8,342,465.96/2,755.48
  6. Step 6: Final answer
    x = 3,027.59

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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.