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Finding the Fourth Proportional to 2,922.09, 4,384.17 and 1,825.19

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Solution

The fourth proportional to 2,922.09, 4,384.17 and 1,825.19 is: 2,738.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,922.09 : 4,384.17 = 1,825.19 : x
  2. Step 2: Convert to fraction form
    2,922.09/4,384.17 = 1,825.19/x
  3. Step 3: Cross multiply
    2,922.09x = 4,384.17 × 1,825.19
  4. Step 4: Simplify right side
    2,922.09x = 8,001,943.24
  5. Step 5: Solve for x
    x = 8,001,943.24/2,922.09
  6. Step 6: Final answer
    x = 2,738.43

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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.