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Finding the Fourth Proportional to 2,797.48, 4,190.14 and 1,820.62

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Solution

The fourth proportional to 2,797.48, 4,190.14 and 1,820.62 is: 2,726.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,797.48 : 4,190.14 = 1,820.62 : x
  2. Step 2: Convert to fraction form
    2,797.48/4,190.14 = 1,820.62/x
  3. Step 3: Cross multiply
    2,797.48x = 4,190.14 × 1,820.62
  4. Step 4: Simplify right side
    2,797.48x = 7,628,652.69
  5. Step 5: Solve for x
    x = 7,628,652.69/2,797.48
  6. Step 6: Final answer
    x = 2,726.97

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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.