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Finding the Fourth Proportional to 2,020.80, 3,028 and 786.72

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Solution

The fourth proportional to 2,020.80, 3,028 and 786.72 is: 1,178.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,020.80 : 3,028 = 786.72 : x
  2. Step 2: Convert to fraction form
    2,020.80/3,028 = 786.72/x
  3. Step 3: Cross multiply
    2,020.80x = 3,028 × 786.72
  4. Step 4: Simplify right side
    2,020.80x = 2,382,188.16
  5. Step 5: Solve for x
    x = 2,382,188.16/2,020.80
  6. Step 6: Final answer
    x = 1,178.83

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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.