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Finding the Fourth Proportional to 2,769.77, 4,155.06 and 1,674.65

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Solution

The fourth proportional to 2,769.77, 4,155.06 and 1,674.65 is: 2,512.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,769.77 : 4,155.06 = 1,674.65 : x
  2. Step 2: Convert to fraction form
    2,769.77/4,155.06 = 1,674.65/x
  3. Step 3: Cross multiply
    2,769.77x = 4,155.06 × 1,674.65
  4. Step 4: Simplify right side
    2,769.77x = 6,958,271.23
  5. Step 5: Solve for x
    x = 6,958,271.23/2,769.77
  6. Step 6: Final answer
    x = 2,512.22

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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.