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Finding the Fourth Proportional to 2,709.45, 3,738.08 and 1,589.96

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Solution

The fourth proportional to 2,709.45, 3,738.08 and 1,589.96 is: 2,193.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,709.45 : 3,738.08 = 1,589.96 : x
  2. Step 2: Convert to fraction form
    2,709.45/3,738.08 = 1,589.96/x
  3. Step 3: Cross multiply
    2,709.45x = 3,738.08 × 1,589.96
  4. Step 4: Simplify right side
    2,709.45x = 5,943,411.00
  5. Step 5: Solve for x
    x = 5,943,411.00/2,709.45
  6. Step 6: Final answer
    x = 2,193.59

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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.