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Finding the Fourth Proportional to 1,647.99, 2,273.94 and 984.80

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Solution

The fourth proportional to 1,647.99, 2,273.94 and 984.80 is: 1,358.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,647.99 : 2,273.94 = 984.80 : x
  2. Step 2: Convert to fraction form
    1,647.99/2,273.94 = 984.80/x
  3. Step 3: Cross multiply
    1,647.99x = 2,273.94 × 984.80
  4. Step 4: Simplify right side
    1,647.99x = 2,239,376.11
  5. Step 5: Solve for x
    x = 2,239,376.11/1,647.99
  6. Step 6: Final answer
    x = 1,358.85

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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.