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Finding the Fourth Proportional to 2,676.09, 3,693.28 and 1,541.80

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Solution

The fourth proportional to 2,676.09, 3,693.28 and 1,541.80 is: 2,127.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,676.09 : 3,693.28 = 1,541.80 : x
  2. Step 2: Convert to fraction form
    2,676.09/3,693.28 = 1,541.80/x
  3. Step 3: Cross multiply
    2,676.09x = 3,693.28 × 1,541.80
  4. Step 4: Simplify right side
    2,676.09x = 5,694,299.10
  5. Step 5: Solve for x
    x = 5,694,299.10/2,676.09
  6. Step 6: Final answer
    x = 2,127.84

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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.