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Finding the Fourth Proportional to 2,396.37, 3,306.17 and 1,558.23

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Solution

The fourth proportional to 2,396.37, 3,306.17 and 1,558.23 is: 2,149.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,396.37 : 3,306.17 = 1,558.23 : x
  2. Step 2: Convert to fraction form
    2,396.37/3,306.17 = 1,558.23/x
  3. Step 3: Cross multiply
    2,396.37x = 3,306.17 × 1,558.23
  4. Step 4: Simplify right side
    2,396.37x = 5,151,765.49
  5. Step 5: Solve for x
    x = 5,151,765.49/2,396.37
  6. Step 6: Final answer
    x = 2,149.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.