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Finding the Fourth Proportional to 2,135.66, 2,944.83 and 1,751.23

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Solution

The fourth proportional to 2,135.66, 2,944.83 and 1,751.23 is: 2,414.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,135.66 : 2,944.83 = 1,751.23 : x
  2. Step 2: Convert to fraction form
    2,135.66/2,944.83 = 1,751.23/x
  3. Step 3: Cross multiply
    2,135.66x = 2,944.83 × 1,751.23
  4. Step 4: Simplify right side
    2,135.66x = 5,157,059.92
  5. Step 5: Solve for x
    x = 5,157,059.92/2,135.66
  6. Step 6: Final answer
    x = 2,414.74

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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.