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Finding the Fourth Proportional to 2,662.41, 3,673.79 and 1,543.19

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Solution

The fourth proportional to 2,662.41, 3,673.79 and 1,543.19 is: 2,129.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,662.41 : 3,673.79 = 1,543.19 : x
  2. Step 2: Convert to fraction form
    2,662.41/3,673.79 = 1,543.19/x
  3. Step 3: Cross multiply
    2,662.41x = 3,673.79 × 1,543.19
  4. Step 4: Simplify right side
    2,662.41x = 5,669,357.46
  5. Step 5: Solve for x
    x = 5,669,357.46/2,662.41
  6. Step 6: Final answer
    x = 2,129.41

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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.