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Finding the Fourth Proportional to 3,093.05, 4,268.16 and 1,834.00

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Solution

The fourth proportional to 3,093.05, 4,268.16 and 1,834.00 is: 2,530.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,093.05 : 4,268.16 = 1,834.00 : x
  2. Step 2: Convert to fraction form
    3,093.05/4,268.16 = 1,834.00/x
  3. Step 3: Cross multiply
    3,093.05x = 4,268.16 × 1,834.00
  4. Step 4: Simplify right side
    3,093.05x = 7,827,794.77
  5. Step 5: Solve for x
    x = 7,827,794.77/3,093.05
  6. Step 6: Final answer
    x = 2,530.77

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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.