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Finding the Fourth Proportional to 2,709.59, 3,739.19 and 1,467.59

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Solution

The fourth proportional to 2,709.59, 3,739.19 and 1,467.59 is: 2,025.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,709.59 : 3,739.19 = 1,467.59 : x
  2. Step 2: Convert to fraction form
    2,709.59/3,739.19 = 1,467.59/x
  3. Step 3: Cross multiply
    2,709.59x = 3,739.19 × 1,467.59
  4. Step 4: Simplify right side
    2,709.59x = 5,487,571.82
  5. Step 5: Solve for x
    x = 5,487,571.82/2,709.59
  6. Step 6: Final answer
    x = 2,025.24

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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.