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Finding the Fourth Proportional to 3,204.35, 4,806.35 and 2,263.42

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Solution

The fourth proportional to 3,204.35, 4,806.35 and 2,263.42 is: 3,395.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,204.35 : 4,806.35 = 2,263.42 : x
  2. Step 2: Convert to fraction form
    3,204.35/4,806.35 = 2,263.42/x
  3. Step 3: Cross multiply
    3,204.35x = 4,806.35 × 2,263.42
  4. Step 4: Simplify right side
    3,204.35x = 10,878,788.72
  5. Step 5: Solve for x
    x = 10,878,788.72/3,204.35
  6. Step 6: Final answer
    x = 3,395.01

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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.