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Finding the Fourth Proportional to 4,161.93, 6,245.97 and 1,970.66

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Solution

The fourth proportional to 4,161.93, 6,245.97 and 1,970.66 is: 2,957.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,161.93 : 6,245.97 = 1,970.66 : x
  2. Step 2: Convert to fraction form
    4,161.93/6,245.97 = 1,970.66/x
  3. Step 3: Cross multiply
    4,161.93x = 6,245.97 × 1,970.66
  4. Step 4: Simplify right side
    4,161.93x = 12,308,652.01
  5. Step 5: Solve for x
    x = 12,308,652.01/4,161.93
  6. Step 6: Final answer
    x = 2,957.44

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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.