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Finding the Fourth Proportional to 2,769.80, 4,152.62 and 1,673.94

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Solution

The fourth proportional to 2,769.80, 4,152.62 and 1,673.94 is: 2,509.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,769.80 : 4,152.62 = 1,673.94 : x
  2. Step 2: Convert to fraction form
    2,769.80/4,152.62 = 1,673.94/x
  3. Step 3: Cross multiply
    2,769.80x = 4,152.62 × 1,673.94
  4. Step 4: Simplify right side
    2,769.80x = 6,951,236.72
  5. Step 5: Solve for x
    x = 6,951,236.72/2,769.80
  6. Step 6: Final answer
    x = 2,509.65

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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.