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Finding the Fourth Proportional to 2,683.73, 4,024.86 and 1,123.41

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Solution

The fourth proportional to 2,683.73, 4,024.86 and 1,123.41 is: 1,684.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,683.73 : 4,024.86 = 1,123.41 : x
  2. Step 2: Convert to fraction form
    2,683.73/4,024.86 = 1,123.41/x
  3. Step 3: Cross multiply
    2,683.73x = 4,024.86 × 1,123.41
  4. Step 4: Simplify right side
    2,683.73x = 4,521,567.97
  5. Step 5: Solve for x
    x = 4,521,567.97/2,683.73
  6. Step 6: Final answer
    x = 1,684.81

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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.