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Finding the Fourth Proportional to 2,182.06, 3,008.73 and 1,739.62

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Solution

The fourth proportional to 2,182.06, 3,008.73 and 1,739.62 is: 2,398.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,182.06 : 3,008.73 = 1,739.62 : x
  2. Step 2: Convert to fraction form
    2,182.06/3,008.73 = 1,739.62/x
  3. Step 3: Cross multiply
    2,182.06x = 3,008.73 × 1,739.62
  4. Step 4: Simplify right side
    2,182.06x = 5,234,046.88
  5. Step 5: Solve for x
    x = 5,234,046.88/2,182.06
  6. Step 6: Final answer
    x = 2,398.67

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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.