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Finding the Fourth Proportional to 2,671.26, 3,683.06 and 2,197.50

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Solution

The fourth proportional to 2,671.26, 3,683.06 and 2,197.50 is: 3,029.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,671.26 : 3,683.06 = 2,197.50 : x
  2. Step 2: Convert to fraction form
    2,671.26/3,683.06 = 2,197.50/x
  3. Step 3: Cross multiply
    2,671.26x = 3,683.06 × 2,197.50
  4. Step 4: Simplify right side
    2,671.26x = 8,093,524.35
  5. Step 5: Solve for x
    x = 8,093,524.35/2,671.26
  6. Step 6: Final answer
    x = 3,029.85

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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.