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Finding the Fourth Proportional to 2,741.42, 3,781.54 and 1,679.66

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Solution

The fourth proportional to 2,741.42, 3,781.54 and 1,679.66 is: 2,316.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,741.42 : 3,781.54 = 1,679.66 : x
  2. Step 2: Convert to fraction form
    2,741.42/3,781.54 = 1,679.66/x
  3. Step 3: Cross multiply
    2,741.42x = 3,781.54 × 1,679.66
  4. Step 4: Simplify right side
    2,741.42x = 6,351,700.04
  5. Step 5: Solve for x
    x = 6,351,700.04/2,741.42
  6. Step 6: Final answer
    x = 2,316.94

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