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Finding the Fourth Proportional to 3,016.72, 4,163.12 and 1,690.42

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Solution

The fourth proportional to 3,016.72, 4,163.12 and 1,690.42 is: 2,332.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,016.72 : 4,163.12 = 1,690.42 : x
  2. Step 2: Convert to fraction form
    3,016.72/4,163.12 = 1,690.42/x
  3. Step 3: Cross multiply
    3,016.72x = 4,163.12 × 1,690.42
  4. Step 4: Simplify right side
    3,016.72x = 7,037,421.31
  5. Step 5: Solve for x
    x = 7,037,421.31/3,016.72
  6. Step 6: Final answer
    x = 2,332.81

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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.