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Finding the Fourth Proportional to 3,203.13, 4,806.50 and 1,742.39

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Solution

The fourth proportional to 3,203.13, 4,806.50 and 1,742.39 is: 2,614.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,203.13 : 4,806.50 = 1,742.39 : x
  2. Step 2: Convert to fraction form
    3,203.13/4,806.50 = 1,742.39/x
  3. Step 3: Cross multiply
    3,203.13x = 4,806.50 × 1,742.39
  4. Step 4: Simplify right side
    3,203.13x = 8,374,797.54
  5. Step 5: Solve for x
    x = 8,374,797.54/3,203.13
  6. Step 6: Final answer
    x = 2,614.57

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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.