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Finding the Fourth Proportional to 2,112, 3,170.44 and 957.76

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Solution

The fourth proportional to 2,112, 3,170.44 and 957.76 is: 1,437.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,112 : 3,170.44 = 957.76 : x
  2. Step 2: Convert to fraction form
    2,112/3,170.44 = 957.76/x
  3. Step 3: Cross multiply
    2,112x = 3,170.44 × 957.76
  4. Step 4: Simplify right side
    2,112x = 3,036,520.61
  5. Step 5: Solve for x
    x = 3,036,520.61/2,112
  6. Step 6: Final answer
    x = 1,437.75

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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.