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Finding the Fourth Proportional to 2,661.59, 3,673.21 and 1,542.55

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Solution

The fourth proportional to 2,661.59, 3,673.21 and 1,542.55 is: 2,128.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,661.59 : 3,673.21 = 1,542.55 : x
  2. Step 2: Convert to fraction form
    2,661.59/3,673.21 = 1,542.55/x
  3. Step 3: Cross multiply
    2,661.59x = 3,673.21 × 1,542.55
  4. Step 4: Simplify right side
    2,661.59x = 5,666,110.09
  5. Step 5: Solve for x
    x = 5,666,110.09/2,661.59
  6. Step 6: Final answer
    x = 2,128.84

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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.