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Finding the Fourth Proportional to 3,204.60, 4,422.75 and 1,946.14

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Solution

The fourth proportional to 3,204.60, 4,422.75 and 1,946.14 is: 2,685.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,204.60 : 4,422.75 = 1,946.14 : x
  2. Step 2: Convert to fraction form
    3,204.60/4,422.75 = 1,946.14/x
  3. Step 3: Cross multiply
    3,204.60x = 4,422.75 × 1,946.14
  4. Step 4: Simplify right side
    3,204.60x = 8,607,290.69
  5. Step 5: Solve for x
    x = 8,607,290.69/3,204.60
  6. Step 6: Final answer
    x = 2,685.92

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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.