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Finding the Fourth Proportional to 2,676.59, 3,691.31 and 1,681.97

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Solution

The fourth proportional to 2,676.59, 3,691.31 and 1,681.97 is: 2,319.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,676.59 : 3,691.31 = 1,681.97 : x
  2. Step 2: Convert to fraction form
    2,676.59/3,691.31 = 1,681.97/x
  3. Step 3: Cross multiply
    2,676.59x = 3,691.31 × 1,681.97
  4. Step 4: Simplify right side
    2,676.59x = 6,208,645.81
  5. Step 5: Solve for x
    x = 6,208,645.81/2,676.59
  6. Step 6: Final answer
    x = 2,319.61

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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.