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Finding the Fourth Proportional to 3,093.86, 4,268.84 and 1,834.28

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Solution

The fourth proportional to 3,093.86, 4,268.84 and 1,834.28 is: 2,530.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,093.86 : 4,268.84 = 1,834.28 : x
  2. Step 2: Convert to fraction form
    3,093.86/4,268.84 = 1,834.28/x
  3. Step 3: Cross multiply
    3,093.86x = 4,268.84 × 1,834.28
  4. Step 4: Simplify right side
    3,093.86x = 7,830,247.84
  5. Step 5: Solve for x
    x = 7,830,247.84/3,093.86
  6. Step 6: Final answer
    x = 2,530.90

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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.