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Finding the Fourth Proportional to 2,662.13, 3,673.74 and 1,543.28

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Solution

The fourth proportional to 2,662.13, 3,673.74 and 1,543.28 is: 2,129.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,662.13 : 3,673.74 = 1,543.28 : x
  2. Step 2: Convert to fraction form
    2,662.13/3,673.74 = 1,543.28/x
  3. Step 3: Cross multiply
    2,662.13x = 3,673.74 × 1,543.28
  4. Step 4: Simplify right side
    2,662.13x = 5,669,609.47
  5. Step 5: Solve for x
    x = 5,669,609.47/2,662.13
  6. Step 6: Final answer
    x = 2,129.73

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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.