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Finding the Fourth Proportional to 2,586.67, 3,879.94 and 638.89

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Solution

The fourth proportional to 2,586.67, 3,879.94 and 638.89 is: 958.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,586.67 : 3,879.94 = 638.89 : x
  2. Step 2: Convert to fraction form
    2,586.67/3,879.94 = 638.89/x
  3. Step 3: Cross multiply
    2,586.67x = 3,879.94 × 638.89
  4. Step 4: Simplify right side
    2,586.67x = 2,478,854.87
  5. Step 5: Solve for x
    x = 2,478,854.87/2,586.67
  6. Step 6: Final answer
    x = 958.32

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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.