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Finding the Fourth Proportional to 2,662.52, 3,675.08 and 1,543.73

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Solution

The fourth proportional to 2,662.52, 3,675.08 and 1,543.73 is: 2,130.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,662.52 : 3,675.08 = 1,543.73 : x
  2. Step 2: Convert to fraction form
    2,662.52/3,675.08 = 1,543.73/x
  3. Step 3: Cross multiply
    2,662.52x = 3,675.08 × 1,543.73
  4. Step 4: Simplify right side
    2,662.52x = 5,673,331.25
  5. Step 5: Solve for x
    x = 5,673,331.25/2,662.52
  6. Step 6: Final answer
    x = 2,130.81

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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.