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Finding the Fourth Proportional to 3,105.40, 4,284.84 and 2,056.84

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Solution

The fourth proportional to 3,105.40, 4,284.84 and 2,056.84 is: 2,838.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,105.40 : 4,284.84 = 2,056.84 : x
  2. Step 2: Convert to fraction form
    3,105.40/4,284.84 = 2,056.84/x
  3. Step 3: Cross multiply
    3,105.40x = 4,284.84 × 2,056.84
  4. Step 4: Simplify right side
    3,105.40x = 8,813,230.31
  5. Step 5: Solve for x
    x = 8,813,230.31/3,105.40
  6. Step 6: Final answer
    x = 2,838.03

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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.