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Finding the Fourth Proportional to 3,203.08, 4,806.42 and 1,471.84

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Solution

The fourth proportional to 3,203.08, 4,806.42 and 1,471.84 is: 2,208.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,203.08 : 4,806.42 = 1,471.84 : x
  2. Step 2: Convert to fraction form
    3,203.08/4,806.42 = 1,471.84/x
  3. Step 3: Cross multiply
    3,203.08x = 4,806.42 × 1,471.84
  4. Step 4: Simplify right side
    3,203.08x = 7,074,281.21
  5. Step 5: Solve for x
    x = 7,074,281.21/3,203.08
  6. Step 6: Final answer
    x = 2,208.59

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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.