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Finding the Fourth Proportional to 2,833.46, 4,250.19 and 984.59

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Solution

The fourth proportional to 2,833.46, 4,250.19 and 984.59 is: 1,476.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,833.46 : 4,250.19 = 984.59 : x
  2. Step 2: Convert to fraction form
    2,833.46/4,250.19 = 984.59/x
  3. Step 3: Cross multiply
    2,833.46x = 4,250.19 × 984.59
  4. Step 4: Simplify right side
    2,833.46x = 4,184,683.64
  5. Step 5: Solve for x
    x = 4,184,683.64/2,833.46
  6. Step 6: Final answer
    x = 1,476.88

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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.