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Finding the Fourth Proportional to 2,196.72, 3,296.30 and 1,223.51

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Solution

The fourth proportional to 2,196.72, 3,296.30 and 1,223.51 is: 1,835.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,196.72 : 3,296.30 = 1,223.51 : x
  2. Step 2: Convert to fraction form
    2,196.72/3,296.30 = 1,223.51/x
  3. Step 3: Cross multiply
    2,196.72x = 3,296.30 × 1,223.51
  4. Step 4: Simplify right side
    2,196.72x = 4,033,033.41
  5. Step 5: Solve for x
    x = 4,033,033.41/2,196.72
  6. Step 6: Final answer
    x = 1,835.93

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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.