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Finding the Fourth Proportional to 1,586.97, 2,380.38 and 491.19

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Solution

The fourth proportional to 1,586.97, 2,380.38 and 491.19 is: 736.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,586.97 : 2,380.38 = 491.19 : x
  2. Step 2: Convert to fraction form
    1,586.97/2,380.38 = 491.19/x
  3. Step 3: Cross multiply
    1,586.97x = 2,380.38 × 491.19
  4. Step 4: Simplify right side
    1,586.97x = 1,169,218.85
  5. Step 5: Solve for x
    x = 1,169,218.85/1,586.97
  6. Step 6: Final answer
    x = 736.76

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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.