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Finding the Fourth Proportional to 3,016.61, 4,163.09 and 1,690.74

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Solution

The fourth proportional to 3,016.61, 4,163.09 and 1,690.74 is: 2,333.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,016.61 : 4,163.09 = 1,690.74 : x
  2. Step 2: Convert to fraction form
    3,016.61/4,163.09 = 1,690.74/x
  3. Step 3: Cross multiply
    3,016.61x = 4,163.09 × 1,690.74
  4. Step 4: Simplify right side
    3,016.61x = 7,038,694.33
  5. Step 5: Solve for x
    x = 7,038,694.33/3,016.61
  6. Step 6: Final answer
    x = 2,333.31

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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.