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Finding the Fourth Proportional to 2,661.30, 3,672.60 and 1,542.45

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Solution

The fourth proportional to 2,661.30, 3,672.60 and 1,542.45 is: 2,128.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,661.30 : 3,672.60 = 1,542.45 : x
  2. Step 2: Convert to fraction form
    2,661.30/3,672.60 = 1,542.45/x
  3. Step 3: Cross multiply
    2,661.30x = 3,672.60 × 1,542.45
  4. Step 4: Simplify right side
    2,661.30x = 5,664,801.87
  5. Step 5: Solve for x
    x = 5,664,801.87/2,661.30
  6. Step 6: Final answer
    x = 2,128.58

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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.