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Finding the Fourth Proportional to 2,647.31, 3,968.26 and 1,674.05

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Solution

The fourth proportional to 2,647.31, 3,968.26 and 1,674.05 is: 2,509.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,647.31 : 3,968.26 = 1,674.05 : x
  2. Step 2: Convert to fraction form
    2,647.31/3,968.26 = 1,674.05/x
  3. Step 3: Cross multiply
    2,647.31x = 3,968.26 × 1,674.05
  4. Step 4: Simplify right side
    2,647.31x = 6,643,041.63
  5. Step 5: Solve for x
    x = 6,643,041.63/2,647.31
  6. Step 6: Final answer
    x = 2,509.36

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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.