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Finding the Fourth Proportional to 2,669.41, 3,683.82 and 1,474.41

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Solution

The fourth proportional to 2,669.41, 3,683.82 and 1,474.41 is: 2,034.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,669.41 : 3,683.82 = 1,474.41 : x
  2. Step 2: Convert to fraction form
    2,669.41/3,683.82 = 1,474.41/x
  3. Step 3: Cross multiply
    2,669.41x = 3,683.82 × 1,474.41
  4. Step 4: Simplify right side
    2,669.41x = 5,431,461.05
  5. Step 5: Solve for x
    x = 5,431,461.05/2,669.41
  6. Step 6: Final answer
    x = 2,034.70

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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.