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Finding the Fourth Proportional to 3,093.50, 4,269.05 and 1,677.19

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Solution

The fourth proportional to 3,093.50, 4,269.05 and 1,677.19 is: 2,314.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,093.50 : 4,269.05 = 1,677.19 : x
  2. Step 2: Convert to fraction form
    3,093.50/4,269.05 = 1,677.19/x
  3. Step 3: Cross multiply
    3,093.50x = 4,269.05 × 1,677.19
  4. Step 4: Simplify right side
    3,093.50x = 7,160,023.57
  5. Step 5: Solve for x
    x = 7,160,023.57/3,093.50
  6. Step 6: Final answer
    x = 2,314.54

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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.