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Finding the Fourth Proportional to 3,205.17, 4,810.17 and 2,162.70

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Solution

The fourth proportional to 3,205.17, 4,810.17 and 2,162.70 is: 3,245.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,205.17 : 4,810.17 = 2,162.70 : x
  2. Step 2: Convert to fraction form
    3,205.17/4,810.17 = 2,162.70/x
  3. Step 3: Cross multiply
    3,205.17x = 4,810.17 × 2,162.70
  4. Step 4: Simplify right side
    3,205.17x = 10,402,954.66
  5. Step 5: Solve for x
    x = 10,402,954.66/3,205.17
  6. Step 6: Final answer
    x = 3,245.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.