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Finding the Fourth Proportional to 2,558.90, 3,836.14 and 2,123.78

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Solution

The fourth proportional to 2,558.90, 3,836.14 and 2,123.78 is: 3,183.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,558.90 : 3,836.14 = 2,123.78 : x
  2. Step 2: Convert to fraction form
    2,558.90/3,836.14 = 2,123.78/x
  3. Step 3: Cross multiply
    2,558.90x = 3,836.14 × 2,123.78
  4. Step 4: Simplify right side
    2,558.90x = 8,147,117.41
  5. Step 5: Solve for x
    x = 8,147,117.41/2,558.90
  6. Step 6: Final answer
    x = 3,183.84

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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.