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Finding the Fourth Proportional to 2,128.82, 2,912.49 and 2,119.57

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Solution

The fourth proportional to 2,128.82, 2,912.49 and 2,119.57 is: 2,899.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,128.82 : 2,912.49 = 2,119.57 : x
  2. Step 2: Convert to fraction form
    2,128.82/2,912.49 = 2,119.57/x
  3. Step 3: Cross multiply
    2,128.82x = 2,912.49 × 2,119.57
  4. Step 4: Simplify right side
    2,128.82x = 6,173,219.15
  5. Step 5: Solve for x
    x = 6,173,219.15/2,128.82
  6. Step 6: Final answer
    x = 2,899.84

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.