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Finding the Fourth Proportional to 2,148.34, 3,222.03 and 1,093.09

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Solution

The fourth proportional to 2,148.34, 3,222.03 and 1,093.09 is: 1,639.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,148.34 : 3,222.03 = 1,093.09 : x
  2. Step 2: Convert to fraction form
    2,148.34/3,222.03 = 1,093.09/x
  3. Step 3: Cross multiply
    2,148.34x = 3,222.03 × 1,093.09
  4. Step 4: Simplify right side
    2,148.34x = 3,521,968.77
  5. Step 5: Solve for x
    x = 3,521,968.77/2,148.34
  6. Step 6: Final answer
    x = 1,639.39

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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.