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Finding the Fourth Proportional to 2,824.84, 4,237.26 and 1,093.06

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Solution

The fourth proportional to 2,824.84, 4,237.26 and 1,093.06 is: 1,639.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,824.84 : 4,237.26 = 1,093.06 : x
  2. Step 2: Convert to fraction form
    2,824.84/4,237.26 = 1,093.06/x
  3. Step 3: Cross multiply
    2,824.84x = 4,237.26 × 1,093.06
  4. Step 4: Simplify right side
    2,824.84x = 4,631,579.42
  5. Step 5: Solve for x
    x = 4,631,579.42/2,824.84
  6. Step 6: Final answer
    x = 1,639.59

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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.