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Finding the Fourth Proportional to 2,199.07, 3,298.78 and 738.22

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Solution

The fourth proportional to 2,199.07, 3,298.78 and 738.22 is: 1,107.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,199.07 : 3,298.78 = 738.22 : x
  2. Step 2: Convert to fraction form
    2,199.07/3,298.78 = 738.22/x
  3. Step 3: Cross multiply
    2,199.07x = 3,298.78 × 738.22
  4. Step 4: Simplify right side
    2,199.07x = 2,435,225.37
  5. Step 5: Solve for x
    x = 2,435,225.37/2,199.07
  6. Step 6: Final answer
    x = 1,107.39

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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.