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Finding the Fourth Proportional to 2,741.28, 4,111.77 and 986.31

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Solution

The fourth proportional to 2,741.28, 4,111.77 and 986.31 is: 1,479.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,741.28 : 4,111.77 = 986.31 : x
  2. Step 2: Convert to fraction form
    2,741.28/4,111.77 = 986.31/x
  3. Step 3: Cross multiply
    2,741.28x = 4,111.77 × 986.31
  4. Step 4: Simplify right side
    2,741.28x = 4,055,479.87
  5. Step 5: Solve for x
    x = 4,055,479.87/2,741.28
  6. Step 6: Final answer
    x = 1,479.41

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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.