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Finding the Fourth Proportional to 4,203.68, 6,306.84 and 1,739.66

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Solution

The fourth proportional to 4,203.68, 6,306.84 and 1,739.66 is: 2,610.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,203.68 : 6,306.84 = 1,739.66 : x
  2. Step 2: Convert to fraction form
    4,203.68/6,306.84 = 1,739.66/x
  3. Step 3: Cross multiply
    4,203.68x = 6,306.84 × 1,739.66
  4. Step 4: Simplify right side
    4,203.68x = 10,971,757.27
  5. Step 5: Solve for x
    x = 10,971,757.27/4,203.68
  6. Step 6: Final answer
    x = 2,610.04

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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.