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Finding the Fourth Proportional to 2,682.37, 3,701.67 and 1,503.44

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Solution

The fourth proportional to 2,682.37, 3,701.67 and 1,503.44 is: 2,074.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,682.37 : 3,701.67 = 1,503.44 : x
  2. Step 2: Convert to fraction form
    2,682.37/3,701.67 = 1,503.44/x
  3. Step 3: Cross multiply
    2,682.37x = 3,701.67 × 1,503.44
  4. Step 4: Simplify right side
    2,682.37x = 5,565,238.74
  5. Step 5: Solve for x
    x = 5,565,238.74/2,682.37
  6. Step 6: Final answer
    x = 2,074.75

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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.