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Finding the Fourth Proportional to 3,016.32, 4,162.32 and 1,689.81

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Solution

The fourth proportional to 3,016.32, 4,162.32 and 1,689.81 is: 2,331.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,016.32 : 4,162.32 = 1,689.81 : x
  2. Step 2: Convert to fraction form
    3,016.32/4,162.32 = 1,689.81/x
  3. Step 3: Cross multiply
    3,016.32x = 4,162.32 × 1,689.81
  4. Step 4: Simplify right side
    3,016.32x = 7,033,529.96
  5. Step 5: Solve for x
    x = 7,033,529.96/3,016.32
  6. Step 6: Final answer
    x = 2,331.82

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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.