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Finding the Fourth Proportional to 2,782.98, 4,174.91 and 1,321.34

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Solution

The fourth proportional to 2,782.98, 4,174.91 and 1,321.34 is: 1,982.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,782.98 : 4,174.91 = 1,321.34 : x
  2. Step 2: Convert to fraction form
    2,782.98/4,174.91 = 1,321.34/x
  3. Step 3: Cross multiply
    2,782.98x = 4,174.91 × 1,321.34
  4. Step 4: Simplify right side
    2,782.98x = 5,516,448.10
  5. Step 5: Solve for x
    x = 5,516,448.10/2,782.98
  6. Step 6: Final answer
    x = 1,982.21

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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.