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Finding the Fourth Proportional to 1,586.14, 2,378.82 and 490.54

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Solution

The fourth proportional to 1,586.14, 2,378.82 and 490.54 is: 735.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,586.14 : 2,378.82 = 490.54 : x
  2. Step 2: Convert to fraction form
    1,586.14/2,378.82 = 490.54/x
  3. Step 3: Cross multiply
    1,586.14x = 2,378.82 × 490.54
  4. Step 4: Simplify right side
    1,586.14x = 1,166,906.36
  5. Step 5: Solve for x
    x = 1,166,906.36/1,586.14
  6. Step 6: Final answer
    x = 735.69

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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.