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Finding the Fourth Proportional to 2,779.43, 4,169.15 and 2,256.95

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Solution

The fourth proportional to 2,779.43, 4,169.15 and 2,256.95 is: 3,385.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,779.43 : 4,169.15 = 2,256.95 : x
  2. Step 2: Convert to fraction form
    2,779.43/4,169.15 = 2,256.95/x
  3. Step 3: Cross multiply
    2,779.43x = 4,169.15 × 2,256.95
  4. Step 4: Simplify right side
    2,779.43x = 9,409,563.09
  5. Step 5: Solve for x
    x = 9,409,563.09/2,779.43
  6. Step 6: Final answer
    x = 3,385.43

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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.