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Finding the Fourth Proportional to 1,586.05, 2,379.21 and 490.39

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Solution

The fourth proportional to 1,586.05, 2,379.21 and 490.39 is: 735.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,586.05 : 2,379.21 = 490.39 : x
  2. Step 2: Convert to fraction form
    1,586.05/2,379.21 = 490.39/x
  3. Step 3: Cross multiply
    1,586.05x = 2,379.21 × 490.39
  4. Step 4: Simplify right side
    1,586.05x = 1,166,740.79
  5. Step 5: Solve for x
    x = 1,166,740.79/1,586.05
  6. Step 6: Final answer
    x = 735.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.