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Finding the Fourth Proportional to 2,676.76, 3,693.98 and 1,497.82

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Solution

The fourth proportional to 2,676.76, 3,693.98 and 1,497.82 is: 2,067.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,676.76 : 3,693.98 = 1,497.82 : x
  2. Step 2: Convert to fraction form
    2,676.76/3,693.98 = 1,497.82/x
  3. Step 3: Cross multiply
    2,676.76x = 3,693.98 × 1,497.82
  4. Step 4: Simplify right side
    2,676.76x = 5,532,917.12
  5. Step 5: Solve for x
    x = 5,532,917.12/2,676.76
  6. Step 6: Final answer
    x = 2,067.02

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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.