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Finding the Fourth Proportional to 2,779.41, 4,169.12 and 1,219.05

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Solution

The fourth proportional to 2,779.41, 4,169.12 and 1,219.05 is: 1,828.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,779.41 : 4,169.12 = 1,219.05 : x
  2. Step 2: Convert to fraction form
    2,779.41/4,169.12 = 1,219.05/x
  3. Step 3: Cross multiply
    2,779.41x = 4,169.12 × 1,219.05
  4. Step 4: Simplify right side
    2,779.41x = 5,082,366.50
  5. Step 5: Solve for x
    x = 5,082,366.50/2,779.41
  6. Step 6: Final answer
    x = 1,828.58

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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.