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Finding the Fourth Proportional to 2,390.62, 3,586.41 and 851.58

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Solution

The fourth proportional to 2,390.62, 3,586.41 and 851.58 is: 1,277.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,390.62 : 3,586.41 = 851.58 : x
  2. Step 2: Convert to fraction form
    2,390.62/3,586.41 = 851.58/x
  3. Step 3: Cross multiply
    2,390.62x = 3,586.41 × 851.58
  4. Step 4: Simplify right side
    2,390.62x = 3,054,115.03
  5. Step 5: Solve for x
    x = 3,054,115.03/2,390.62
  6. Step 6: Final answer
    x = 1,277.54

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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.