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Finding the Fourth Proportional to 2,367.86, 3,269.05 and 2,105.15

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Solution

The fourth proportional to 2,367.86, 3,269.05 and 2,105.15 is: 2,906.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,367.86 : 3,269.05 = 2,105.15 : x
  2. Step 2: Convert to fraction form
    2,367.86/3,269.05 = 2,105.15/x
  3. Step 3: Cross multiply
    2,367.86x = 3,269.05 × 2,105.15
  4. Step 4: Simplify right side
    2,367.86x = 6,881,835.34
  5. Step 5: Solve for x
    x = 6,881,835.34/2,367.86
  6. Step 6: Final answer
    x = 2,906.35

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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.