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Finding the Fourth Proportional to 2,300.63, 3,448.25 and 984.00

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Solution

The fourth proportional to 2,300.63, 3,448.25 and 984.00 is: 1,474.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,300.63 : 3,448.25 = 984.00 : x
  2. Step 2: Convert to fraction form
    2,300.63/3,448.25 = 984.00/x
  3. Step 3: Cross multiply
    2,300.63x = 3,448.25 × 984.00
  4. Step 4: Simplify right side
    2,300.63x = 3,393,067.54
  5. Step 5: Solve for x
    x = 3,393,067.54/2,300.63
  6. Step 6: Final answer
    x = 1,474.84

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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.