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Finding the Fourth Proportional to 2,741.48, 3,781.43 and 1,745.18

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Solution

The fourth proportional to 2,741.48, 3,781.43 and 1,745.18 is: 2,407.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,741.48 : 3,781.43 = 1,745.18 : x
  2. Step 2: Convert to fraction form
    2,741.48/3,781.43 = 1,745.18/x
  3. Step 3: Cross multiply
    2,741.48x = 3,781.43 × 1,745.18
  4. Step 4: Simplify right side
    2,741.48x = 6,599,278.92
  5. Step 5: Solve for x
    x = 6,599,278.92/2,741.48
  6. Step 6: Final answer
    x = 2,407.20

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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.