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Finding the Fourth Proportional to 2,661.94, 3,672.72 and 1,542.88

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Solution

The fourth proportional to 2,661.94, 3,672.72 and 1,542.88 is: 2,128.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,661.94 : 3,672.72 = 1,542.88 : x
  2. Step 2: Convert to fraction form
    2,661.94/3,672.72 = 1,542.88/x
  3. Step 3: Cross multiply
    2,661.94x = 3,672.72 × 1,542.88
  4. Step 4: Simplify right side
    2,661.94x = 5,666,566.23
  5. Step 5: Solve for x
    x = 5,666,566.23/2,661.94
  6. Step 6: Final answer
    x = 2,128.74

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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.