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Finding the Fourth Proportional to 2,128.95, 3,189.27 and 1,396.29

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Solution

The fourth proportional to 2,128.95, 3,189.27 and 1,396.29 is: 2,091.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,128.95 : 3,189.27 = 1,396.29 : x
  2. Step 2: Convert to fraction form
    2,128.95/3,189.27 = 1,396.29/x
  3. Step 3: Cross multiply
    2,128.95x = 3,189.27 × 1,396.29
  4. Step 4: Simplify right side
    2,128.95x = 4,453,145.81
  5. Step 5: Solve for x
    x = 4,453,145.81/2,128.95
  6. Step 6: Final answer
    x = 2,091.71

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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.