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Finding the Fourth Proportional to 2,741.54, 3,782.72 and 1,679.53

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Solution

The fourth proportional to 2,741.54, 3,782.72 and 1,679.53 is: 2,317.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,741.54 : 3,782.72 = 1,679.53 : x
  2. Step 2: Convert to fraction form
    2,741.54/3,782.72 = 1,679.53/x
  3. Step 3: Cross multiply
    2,741.54x = 3,782.72 × 1,679.53
  4. Step 4: Simplify right side
    2,741.54x = 6,353,191.72
  5. Step 5: Solve for x
    x = 6,353,191.72/2,741.54
  6. Step 6: Final answer
    x = 2,317.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.