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Finding the Fourth Proportional to 3,072.57, 4,608.99 and 881.43

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Solution

The fourth proportional to 3,072.57, 4,608.99 and 881.43 is: 1,322.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,072.57 : 4,608.99 = 881.43 : x
  2. Step 2: Convert to fraction form
    3,072.57/4,608.99 = 881.43/x
  3. Step 3: Cross multiply
    3,072.57x = 4,608.99 × 881.43
  4. Step 4: Simplify right side
    3,072.57x = 4,062,502.06
  5. Step 5: Solve for x
    x = 4,062,502.06/3,072.57
  6. Step 6: Final answer
    x = 1,322.18

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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.