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Finding the Fourth Proportional to 2,135.44, 2,944.86 and 1,471.24

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Solution

The fourth proportional to 2,135.44, 2,944.86 and 1,471.24 is: 2,028.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,135.44 : 2,944.86 = 1,471.24 : x
  2. Step 2: Convert to fraction form
    2,135.44/2,944.86 = 1,471.24/x
  3. Step 3: Cross multiply
    2,135.44x = 2,944.86 × 1,471.24
  4. Step 4: Simplify right side
    2,135.44x = 4,332,595.83
  5. Step 5: Solve for x
    x = 4,332,595.83/2,135.44
  6. Step 6: Final answer
    x = 2,028.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.