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Finding the Fourth Proportional to 1,739.72, 2,629.31 and 1,709.48

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Solution

The fourth proportional to 1,739.72, 2,629.31 and 1,709.48 is: 2,583.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,739.72 : 2,629.31 = 1,709.48 : x
  2. Step 2: Convert to fraction form
    1,739.72/2,629.31 = 1,709.48/x
  3. Step 3: Cross multiply
    1,739.72x = 2,629.31 × 1,709.48
  4. Step 4: Simplify right side
    1,739.72x = 4,494,752.86
  5. Step 5: Solve for x
    x = 4,494,752.86/1,739.72
  6. Step 6: Final answer
    x = 2,583.61

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.