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Finding the Fourth Proportional to 3,066.06, 4,231.05 and 1,739.82

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Solution

The fourth proportional to 3,066.06, 4,231.05 and 1,739.82 is: 2,400.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,066.06 : 4,231.05 = 1,739.82 : x
  2. Step 2: Convert to fraction form
    3,066.06/4,231.05 = 1,739.82/x
  3. Step 3: Cross multiply
    3,066.06x = 4,231.05 × 1,739.82
  4. Step 4: Simplify right side
    3,066.06x = 7,361,265.41
  5. Step 5: Solve for x
    x = 7,361,265.41/3,066.06
  6. Step 6: Final answer
    x = 2,400.89

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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.