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Finding the Fourth Proportional to 2,034.69, 3,052.44 and 864.69

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Solution

The fourth proportional to 2,034.69, 3,052.44 and 864.69 is: 1,297.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,034.69 : 3,052.44 = 864.69 : x
  2. Step 2: Convert to fraction form
    2,034.69/3,052.44 = 864.69/x
  3. Step 3: Cross multiply
    2,034.69x = 3,052.44 × 864.69
  4. Step 4: Simplify right side
    2,034.69x = 2,639,414.34
  5. Step 5: Solve for x
    x = 2,639,414.34/2,034.69
  6. Step 6: Final answer
    x = 1,297.21

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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.