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Finding the Fourth Proportional to 3,016.82, 4,163.16 and 1,690.52

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Solution

The fourth proportional to 3,016.82, 4,163.16 and 1,690.52 is: 2,332.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,016.82 : 4,163.16 = 1,690.52 : x
  2. Step 2: Convert to fraction form
    3,016.82/4,163.16 = 1,690.52/x
  3. Step 3: Cross multiply
    3,016.82x = 4,163.16 × 1,690.52
  4. Step 4: Simplify right side
    3,016.82x = 7,037,905.24
  5. Step 5: Solve for x
    x = 7,037,905.24/3,016.82
  6. Step 6: Final answer
    x = 2,332.89

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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.