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Finding the Fourth Proportional to 2,647.68, 3,969.60 and 1,348.16

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Solution

The fourth proportional to 2,647.68, 3,969.60 and 1,348.16 is: 2,021.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,647.68 : 3,969.60 = 1,348.16 : x
  2. Step 2: Convert to fraction form
    2,647.68/3,969.60 = 1,348.16/x
  3. Step 3: Cross multiply
    2,647.68x = 3,969.60 × 1,348.16
  4. Step 4: Simplify right side
    2,647.68x = 5,351,655.94
  5. Step 5: Solve for x
    x = 5,351,655.94/2,647.68
  6. Step 6: Final answer
    x = 2,021.26

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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.