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Finding the Fourth Proportional to 2,123.72, 3,184.56 and 890.80

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Solution

The fourth proportional to 2,123.72, 3,184.56 and 890.80 is: 1,335.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,123.72 : 3,184.56 = 890.80 : x
  2. Step 2: Convert to fraction form
    2,123.72/3,184.56 = 890.80/x
  3. Step 3: Cross multiply
    2,123.72x = 3,184.56 × 890.80
  4. Step 4: Simplify right side
    2,123.72x = 2,836,806.05
  5. Step 5: Solve for x
    x = 2,836,806.05/2,123.72
  6. Step 6: Final answer
    x = 1,335.77

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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.