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Finding the Fourth Proportional to 2,367.86, 3,267.42 and 1,372.46

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Solution

The fourth proportional to 2,367.86, 3,267.42 and 1,372.46 is: 1,893.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,367.86 : 3,267.42 = 1,372.46 : x
  2. Step 2: Convert to fraction form
    2,367.86/3,267.42 = 1,372.46/x
  3. Step 3: Cross multiply
    2,367.86x = 3,267.42 × 1,372.46
  4. Step 4: Simplify right side
    2,367.86x = 4,484,403.25
  5. Step 5: Solve for x
    x = 4,484,403.25/2,367.86
  6. Step 6: Final answer
    x = 1,893.86

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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.