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Finding the Fourth Proportional to 2,105.63, 3,156.44 and 789.03

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Solution

The fourth proportional to 2,105.63, 3,156.44 and 789.03 is: 1,182.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,105.63 : 3,156.44 = 789.03 : x
  2. Step 2: Convert to fraction form
    2,105.63/3,156.44 = 789.03/x
  3. Step 3: Cross multiply
    2,105.63x = 3,156.44 × 789.03
  4. Step 4: Simplify right side
    2,105.63x = 2,490,525.85
  5. Step 5: Solve for x
    x = 2,490,525.85/2,105.63
  6. Step 6: Final answer
    x = 1,182.79

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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.