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Finding the Fourth Proportional to 2,049.30, 3,072.38 and 952.86

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Solution

The fourth proportional to 2,049.30, 3,072.38 and 952.86 is: 1,428.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,049.30 : 3,072.38 = 952.86 : x
  2. Step 2: Convert to fraction form
    2,049.30/3,072.38 = 952.86/x
  3. Step 3: Cross multiply
    2,049.30x = 3,072.38 × 952.86
  4. Step 4: Simplify right side
    2,049.30x = 2,927,560.12
  5. Step 5: Solve for x
    x = 2,927,560.12/2,049.30
  6. Step 6: Final answer
    x = 1,428.57

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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.