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Finding the Fourth Proportional to 2,779.50, 4,169.24 and 1,919.28

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Solution

The fourth proportional to 2,779.50, 4,169.24 and 1,919.28 is: 2,878.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,779.50 : 4,169.24 = 1,919.28 : x
  2. Step 2: Convert to fraction form
    2,779.50/4,169.24 = 1,919.28/x
  3. Step 3: Cross multiply
    2,779.50x = 4,169.24 × 1,919.28
  4. Step 4: Simplify right side
    2,779.50x = 8,001,938.95
  5. Step 5: Solve for x
    x = 8,001,938.95/2,779.50
  6. Step 6: Final answer
    x = 2,878.91

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Why These Related Problems?

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