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Finding the Fourth Proportional to 3,093.84, 4,643.80 and 2,269.78

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Solution

The fourth proportional to 3,093.84, 4,643.80 and 2,269.78 is: 3,406.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,093.84 : 4,643.80 = 2,269.78 : x
  2. Step 2: Convert to fraction form
    3,093.84/4,643.80 = 2,269.78/x
  3. Step 3: Cross multiply
    3,093.84x = 4,643.80 × 2,269.78
  4. Step 4: Simplify right side
    3,093.84x = 10,540,387.08
  5. Step 5: Solve for x
    x = 10,540,387.08/3,093.84
  6. Step 6: Final answer
    x = 3,406.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.