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Finding the Fourth Proportional to 3,015.99, 4,161.78 and 1,689.66

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Solution

The fourth proportional to 3,015.99, 4,161.78 and 1,689.66 is: 2,331.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,015.99 : 4,161.78 = 1,689.66 : x
  2. Step 2: Convert to fraction form
    3,015.99/4,161.78 = 1,689.66/x
  3. Step 3: Cross multiply
    3,015.99x = 4,161.78 × 1,689.66
  4. Step 4: Simplify right side
    3,015.99x = 7,031,993.19
  5. Step 5: Solve for x
    x = 7,031,993.19/3,015.99
  6. Step 6: Final answer
    x = 2,331.57

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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.