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Finding the Fourth Proportional to 2,047.12, 3,072 and 952

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Solution

The fourth proportional to 2,047.12, 3,072 and 952 is: 1,428.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,047.12 : 3,072 = 952 : x
  2. Step 2: Convert to fraction form
    2,047.12/3,072 = 952/x
  3. Step 3: Cross multiply
    2,047.12x = 3,072 × 952
  4. Step 4: Simplify right side
    2,047.12x = 2,924,544
  5. Step 5: Solve for x
    x = 2,924,544/2,047.12
  6. Step 6: Final answer
    x = 1,428.61

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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.