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Finding the Fourth Proportional to 2,709.75, 3,739.52 and 1,498.47

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Solution

The fourth proportional to 2,709.75, 3,739.52 and 1,498.47 is: 2,067.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,709.75 : 3,739.52 = 1,498.47 : x
  2. Step 2: Convert to fraction form
    2,709.75/3,739.52 = 1,498.47/x
  3. Step 3: Cross multiply
    2,709.75x = 3,739.52 × 1,498.47
  4. Step 4: Simplify right side
    2,709.75x = 5,603,558.53
  5. Step 5: Solve for x
    x = 5,603,558.53/2,709.75
  6. Step 6: Final answer
    x = 2,067.92

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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.