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Finding the Fourth Proportional to 2,782.65, 4,174.92 and 1,322.22

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Solution

The fourth proportional to 2,782.65, 4,174.92 and 1,322.22 is: 1,983.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,782.65 : 4,174.92 = 1,322.22 : x
  2. Step 2: Convert to fraction form
    2,782.65/4,174.92 = 1,322.22/x
  3. Step 3: Cross multiply
    2,782.65x = 4,174.92 × 1,322.22
  4. Step 4: Simplify right side
    2,782.65x = 5,520,162.72
  5. Step 5: Solve for x
    x = 5,520,162.72/2,782.65
  6. Step 6: Final answer
    x = 1,983.78

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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.