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Finding the Fourth Proportional to 2,779.72, 4,170.81 and 1,463.15

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Solution

The fourth proportional to 2,779.72, 4,170.81 and 1,463.15 is: 2,195.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,779.72 : 4,170.81 = 1,463.15 : x
  2. Step 2: Convert to fraction form
    2,779.72/4,170.81 = 1,463.15/x
  3. Step 3: Cross multiply
    2,779.72x = 4,170.81 × 1,463.15
  4. Step 4: Simplify right side
    2,779.72x = 6,102,504.87
  5. Step 5: Solve for x
    x = 6,102,504.87/2,779.72
  6. Step 6: Final answer
    x = 2,195.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.