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Finding the Fourth Proportional to 2,741.66, 4,114.31 and 2,559.41

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Solution

The fourth proportional to 2,741.66, 4,114.31 and 2,559.41 is: 3,840.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,741.66 : 4,114.31 = 2,559.41 : x
  2. Step 2: Convert to fraction form
    2,741.66/4,114.31 = 2,559.41/x
  3. Step 3: Cross multiply
    2,741.66x = 4,114.31 × 2,559.41
  4. Step 4: Simplify right side
    2,741.66x = 10,530,172.79
  5. Step 5: Solve for x
    x = 10,530,172.79/2,741.66
  6. Step 6: Final answer
    x = 3,840.81

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.