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Finding the Fourth Proportional to 2,982.96, 4,469.83 and 1,133.07

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Solution

The fourth proportional to 2,982.96, 4,469.83 and 1,133.07 is: 1,697.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,982.96 : 4,469.83 = 1,133.07 : x
  2. Step 2: Convert to fraction form
    2,982.96/4,469.83 = 1,133.07/x
  3. Step 3: Cross multiply
    2,982.96x = 4,469.83 × 1,133.07
  4. Step 4: Simplify right side
    2,982.96x = 5,064,642.20
  5. Step 5: Solve for x
    x = 5,064,642.20/2,982.96
  6. Step 6: Final answer
    x = 1,697.86

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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.