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Finding the Fourth Proportional to 3,015.97, 4,162.16 and 1,689.64

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Solution

The fourth proportional to 3,015.97, 4,162.16 and 1,689.64 is: 2,331.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,015.97 : 4,162.16 = 1,689.64 : x
  2. Step 2: Convert to fraction form
    3,015.97/4,162.16 = 1,689.64/x
  3. Step 3: Cross multiply
    3,015.97x = 4,162.16 × 1,689.64
  4. Step 4: Simplify right side
    3,015.97x = 7,032,545.84
  5. Step 5: Solve for x
    x = 7,032,545.84/3,015.97
  6. Step 6: Final answer
    x = 2,331.77

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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.