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Finding the Fourth Proportional to 1,647.97, 2,274.19 and 984.79

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Solution

The fourth proportional to 1,647.97, 2,274.19 and 984.79 is: 1,359.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,647.97 : 2,274.19 = 984.79 : x
  2. Step 2: Convert to fraction form
    1,647.97/2,274.19 = 984.79/x
  3. Step 3: Cross multiply
    1,647.97x = 2,274.19 × 984.79
  4. Step 4: Simplify right side
    1,647.97x = 2,239,599.57
  5. Step 5: Solve for x
    x = 2,239,599.57/1,647.97
  6. Step 6: Final answer
    x = 1,359.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.