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Finding the Fourth Proportional to 2,782.97, 4,176.09 and 1,223.31

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Solution

The fourth proportional to 2,782.97, 4,176.09 and 1,223.31 is: 1,835.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,782.97 : 4,176.09 = 1,223.31 : x
  2. Step 2: Convert to fraction form
    2,782.97/4,176.09 = 1,223.31/x
  3. Step 3: Cross multiply
    2,782.97x = 4,176.09 × 1,223.31
  4. Step 4: Simplify right side
    2,782.97x = 5,108,652.66
  5. Step 5: Solve for x
    x = 5,108,652.66/2,782.97
  6. Step 6: Final answer
    x = 1,835.69

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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.