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Finding the Fourth Proportional to 2,833.33, 4,249.16 and 984.10

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Solution

The fourth proportional to 2,833.33, 4,249.16 and 984.10 is: 1,475.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,833.33 : 4,249.16 = 984.10 : x
  2. Step 2: Convert to fraction form
    2,833.33/4,249.16 = 984.10/x
  3. Step 3: Cross multiply
    2,833.33x = 4,249.16 × 984.10
  4. Step 4: Simplify right side
    2,833.33x = 4,181,594.47
  5. Step 5: Solve for x
    x = 4,181,594.47/2,833.33
  6. Step 6: Final answer
    x = 1,475.86

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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.