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Finding the Fourth Proportional to 2,768.59, 4,169 and 2,043.24

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Solution

The fourth proportional to 2,768.59, 4,169 and 2,043.24 is: 3,076.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,768.59 : 4,169 = 2,043.24 : x
  2. Step 2: Convert to fraction form
    2,768.59/4,169 = 2,043.24/x
  3. Step 3: Cross multiply
    2,768.59x = 4,169 × 2,043.24
  4. Step 4: Simplify right side
    2,768.59x = 8,518,267.56
  5. Step 5: Solve for x
    x = 8,518,267.56/2,768.59
  6. Step 6: Final answer
    x = 3,076.75

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.