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Finding the Fourth Proportional to 2,020.28, 3,029.17 and 786.25

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Solution

The fourth proportional to 2,020.28, 3,029.17 and 786.25 is: 1,178.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,020.28 : 3,029.17 = 786.25 : x
  2. Step 2: Convert to fraction form
    2,020.28/3,029.17 = 786.25/x
  3. Step 3: Cross multiply
    2,020.28x = 3,029.17 × 786.25
  4. Step 4: Simplify right side
    2,020.28x = 2,381,678.32
  5. Step 5: Solve for x
    x = 2,381,678.32/2,020.28
  6. Step 6: Final answer
    x = 1,178.89

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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.