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Finding the Fourth Proportional to 3,204.68, 4,422.99 and 1,946.57

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Solution

The fourth proportional to 3,204.68, 4,422.99 and 1,946.57 is: 2,686.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,204.68 : 4,422.99 = 1,946.57 : x
  2. Step 2: Convert to fraction form
    3,204.68/4,422.99 = 1,946.57/x
  3. Step 3: Cross multiply
    3,204.68x = 4,422.99 × 1,946.57
  4. Step 4: Simplify right side
    3,204.68x = 8,609,659.64
  5. Step 5: Solve for x
    x = 8,609,659.64/3,204.68
  6. Step 6: Final answer
    x = 2,686.59

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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.