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Finding the Fourth Proportional to 2,313.42, 3,467 and 851.18

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Solution

The fourth proportional to 2,313.42, 3,467 and 851.18 is: 1,275.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,313.42 : 3,467 = 851.18 : x
  2. Step 2: Convert to fraction form
    2,313.42/3,467 = 851.18/x
  3. Step 3: Cross multiply
    2,313.42x = 3,467 × 851.18
  4. Step 4: Simplify right side
    2,313.42x = 2,951,041.06
  5. Step 5: Solve for x
    x = 2,951,041.06/2,313.42
  6. Step 6: Final answer
    x = 1,275.62

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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.