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Finding the Fourth Proportional to 2,128.70, 3,193.05 and 1,912.70

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Solution

The fourth proportional to 2,128.70, 3,193.05 and 1,912.70 is: 2,869.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,128.70 : 3,193.05 = 1,912.70 : x
  2. Step 2: Convert to fraction form
    2,128.70/3,193.05 = 1,912.70/x
  3. Step 3: Cross multiply
    2,128.70x = 3,193.05 × 1,912.70
  4. Step 4: Simplify right side
    2,128.70x = 6,107,346.74
  5. Step 5: Solve for x
    x = 6,107,346.74/2,128.70
  6. Step 6: Final answer
    x = 2,869.05

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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.