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Finding the Fourth Proportional to 3,016.84, 4,163.62 and 1,838.28

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Solution

The fourth proportional to 3,016.84, 4,163.62 and 1,838.28 is: 2,537.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,016.84 : 4,163.62 = 1,838.28 : x
  2. Step 2: Convert to fraction form
    3,016.84/4,163.62 = 1,838.28/x
  3. Step 3: Cross multiply
    3,016.84x = 4,163.62 × 1,838.28
  4. Step 4: Simplify right side
    3,016.84x = 7,653,899.37
  5. Step 5: Solve for x
    x = 7,653,899.37/3,016.84
  6. Step 6: Final answer
    x = 2,537.06

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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.