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Finding the Fourth Proportional to 3,243.10, 4,472.72 and 2,741.40

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Solution

The fourth proportional to 3,243.10, 4,472.72 and 2,741.40 is: 3,780.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,243.10 : 4,472.72 = 2,741.40 : x
  2. Step 2: Convert to fraction form
    3,243.10/4,472.72 = 2,741.40/x
  3. Step 3: Cross multiply
    3,243.10x = 4,472.72 × 2,741.40
  4. Step 4: Simplify right side
    3,243.10x = 12,261,514.61
  5. Step 5: Solve for x
    x = 12,261,514.61/3,243.10
  6. Step 6: Final answer
    x = 3,780.80

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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.