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Finding the Fourth Proportional to 2,424.68, 3,634.17 and 1,123.41

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Solution

The fourth proportional to 2,424.68, 3,634.17 and 1,123.41 is: 1,683.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,424.68 : 3,634.17 = 1,123.41 : x
  2. Step 2: Convert to fraction form
    2,424.68/3,634.17 = 1,123.41/x
  3. Step 3: Cross multiply
    2,424.68x = 3,634.17 × 1,123.41
  4. Step 4: Simplify right side
    2,424.68x = 4,082,662.92
  5. Step 5: Solve for x
    x = 4,082,662.92/2,424.68
  6. Step 6: Final answer
    x = 1,683.80

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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.