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Finding the Fourth Proportional to 1,647.94, 2,274.28 and 984.78

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Solution

The fourth proportional to 1,647.94, 2,274.28 and 984.78 is: 1,359.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,647.94 : 2,274.28 = 984.78 : x
  2. Step 2: Convert to fraction form
    1,647.94/2,274.28 = 984.78/x
  3. Step 3: Cross multiply
    1,647.94x = 2,274.28 × 984.78
  4. Step 4: Simplify right side
    1,647.94x = 2,239,665.46
  5. Step 5: Solve for x
    x = 2,239,665.46/1,647.94
  6. Step 6: Final answer
    x = 1,359.07

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Why These Related Problems?

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