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Finding the Fourth Proportional to 2,838.67, 4,257.97 and 989.75

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Solution

The fourth proportional to 2,838.67, 4,257.97 and 989.75 is: 1,484.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,838.67 : 4,257.97 = 989.75 : x
  2. Step 2: Convert to fraction form
    2,838.67/4,257.97 = 989.75/x
  3. Step 3: Cross multiply
    2,838.67x = 4,257.97 × 989.75
  4. Step 4: Simplify right side
    2,838.67x = 4,214,325.81
  5. Step 5: Solve for x
    x = 4,214,325.81/2,838.67
  6. Step 6: Final answer
    x = 1,484.61

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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.