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Finding the Fourth Proportional to 2,705.84, 4,050.86 and 2,446.44

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Solution

The fourth proportional to 2,705.84, 4,050.86 and 2,446.44 is: 3,662.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,705.84 : 4,050.86 = 2,446.44 : x
  2. Step 2: Convert to fraction form
    2,705.84/4,050.86 = 2,446.44/x
  3. Step 3: Cross multiply
    2,705.84x = 4,050.86 × 2,446.44
  4. Step 4: Simplify right side
    2,705.84x = 9,910,172.28
  5. Step 5: Solve for x
    x = 9,910,172.28/2,705.84
  6. Step 6: Final answer
    x = 3,662.51

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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.