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Finding the Fourth Proportional to 3,189.54, 4,401.06 and 1,826.70

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Solution

The fourth proportional to 3,189.54, 4,401.06 and 1,826.70 is: 2,520.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,189.54 : 4,401.06 = 1,826.70 : x
  2. Step 2: Convert to fraction form
    3,189.54/4,401.06 = 1,826.70/x
  3. Step 3: Cross multiply
    3,189.54x = 4,401.06 × 1,826.70
  4. Step 4: Simplify right side
    3,189.54x = 8,039,416.30
  5. Step 5: Solve for x
    x = 8,039,416.30/3,189.54
  6. Step 6: Final answer
    x = 2,520.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.