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Finding the Fourth Proportional to 2,779.48, 3,836.46 and 1,601.02

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Solution

The fourth proportional to 2,779.48, 3,836.46 and 1,601.02 is: 2,209.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,779.48 : 3,836.46 = 1,601.02 : x
  2. Step 2: Convert to fraction form
    2,779.48/3,836.46 = 1,601.02/x
  3. Step 3: Cross multiply
    2,779.48x = 3,836.46 × 1,601.02
  4. Step 4: Simplify right side
    2,779.48x = 6,142,249.19
  5. Step 5: Solve for x
    x = 6,142,249.19/2,779.48
  6. Step 6: Final answer
    x = 2,209.86

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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.