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Finding the Fourth Proportional to 3,093.60, 4,269.29 and 1,749.74

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Solution

The fourth proportional to 3,093.60, 4,269.29 and 1,749.74 is: 2,414.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,093.60 : 4,269.29 = 1,749.74 : x
  2. Step 2: Convert to fraction form
    3,093.60/4,269.29 = 1,749.74/x
  3. Step 3: Cross multiply
    3,093.60x = 4,269.29 × 1,749.74
  4. Step 4: Simplify right side
    3,093.60x = 7,470,147.48
  5. Step 5: Solve for x
    x = 7,470,147.48/3,093.60
  6. Step 6: Final answer
    x = 2,414.71

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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.