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Finding the Fourth Proportional to 2,747.01, 3,779.56 and 2,414.86

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Solution

The fourth proportional to 2,747.01, 3,779.56 and 2,414.86 is: 3,322.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,747.01 : 3,779.56 = 2,414.86 : x
  2. Step 2: Convert to fraction form
    2,747.01/3,779.56 = 2,414.86/x
  3. Step 3: Cross multiply
    2,747.01x = 3,779.56 × 2,414.86
  4. Step 4: Simplify right side
    2,747.01x = 9,127,123.09
  5. Step 5: Solve for x
    x = 9,127,123.09/2,747.01
  6. Step 6: Final answer
    x = 3,322.56

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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.