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Finding the Fourth Proportional to 2,469.12, 3,407.60 and 1,407.22

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Solution

The fourth proportional to 2,469.12, 3,407.60 and 1,407.22 is: 1,942.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,469.12 : 3,407.60 = 1,407.22 : x
  2. Step 2: Convert to fraction form
    2,469.12/3,407.60 = 1,407.22/x
  3. Step 3: Cross multiply
    2,469.12x = 3,407.60 × 1,407.22
  4. Step 4: Simplify right side
    2,469.12x = 4,795,242.87
  5. Step 5: Solve for x
    x = 4,795,242.87/2,469.12
  6. Step 6: Final answer
    x = 1,942.09

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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.