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Finding the Fourth Proportional to 2,661.33, 3,672.69 and 1,542.63

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Solution

The fourth proportional to 2,661.33, 3,672.69 and 1,542.63 is: 2,128.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,661.33 : 3,672.69 = 1,542.63 : x
  2. Step 2: Convert to fraction form
    2,661.33/3,672.69 = 1,542.63/x
  3. Step 3: Cross multiply
    2,661.33x = 3,672.69 × 1,542.63
  4. Step 4: Simplify right side
    2,661.33x = 5,665,575.70
  5. Step 5: Solve for x
    x = 5,665,575.70/2,661.33
  6. Step 6: Final answer
    x = 2,128.86

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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.