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Finding the Fourth Proportional to 4,161.84, 6,245.83 and 1,970.56

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Solution

The fourth proportional to 4,161.84, 6,245.83 and 1,970.56 is: 2,957.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,161.84 : 6,245.83 = 1,970.56 : x
  2. Step 2: Convert to fraction form
    4,161.84/6,245.83 = 1,970.56/x
  3. Step 3: Cross multiply
    4,161.84x = 6,245.83 × 1,970.56
  4. Step 4: Simplify right side
    4,161.84x = 12,307,781.95
  5. Step 5: Solve for x
    x = 12,307,781.95/4,161.84
  6. Step 6: Final answer
    x = 2,957.30

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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.