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Finding the Fourth Proportional to 2,104.44, 2,904.12 and 1,220.22

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Solution

The fourth proportional to 2,104.44, 2,904.12 and 1,220.22 is: 1,683.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,104.44 : 2,904.12 = 1,220.22 : x
  2. Step 2: Convert to fraction form
    2,104.44/2,904.12 = 1,220.22/x
  3. Step 3: Cross multiply
    2,104.44x = 2,904.12 × 1,220.22
  4. Step 4: Simplify right side
    2,104.44x = 3,543,665.31
  5. Step 5: Solve for x
    x = 3,543,665.31/2,104.44
  6. Step 6: Final answer
    x = 1,683.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.