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Finding the Fourth Proportional to 2,586.02, 3,879.32 and 830.62

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Solution

The fourth proportional to 2,586.02, 3,879.32 and 830.62 is: 1,246.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,586.02 : 3,879.32 = 830.62 : x
  2. Step 2: Convert to fraction form
    2,586.02/3,879.32 = 830.62/x
  3. Step 3: Cross multiply
    2,586.02x = 3,879.32 × 830.62
  4. Step 4: Simplify right side
    2,586.02x = 3,222,226.93
  5. Step 5: Solve for x
    x = 3,222,226.93/2,586.02
  6. Step 6: Final answer
    x = 1,246.02

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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.