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Finding the Fourth Proportional to 3,093.66, 4,269.30 and 1,677.38

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Solution

The fourth proportional to 3,093.66, 4,269.30 and 1,677.38 is: 2,314.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,093.66 : 4,269.30 = 1,677.38 : x
  2. Step 2: Convert to fraction form
    3,093.66/4,269.30 = 1,677.38/x
  3. Step 3: Cross multiply
    3,093.66x = 4,269.30 × 1,677.38
  4. Step 4: Simplify right side
    3,093.66x = 7,161,217.09
  5. Step 5: Solve for x
    x = 7,161,217.09/3,093.66
  6. Step 6: Final answer
    x = 2,314.80

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Why These Related Problems?

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