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Finding the Fourth Proportional to 3,076.77, 4,609.91 and 1,691.27

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Solution

The fourth proportional to 3,076.77, 4,609.91 and 1,691.27 is: 2,534.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,076.77 : 4,609.91 = 1,691.27 : x
  2. Step 2: Convert to fraction form
    3,076.77/4,609.91 = 1,691.27/x
  3. Step 3: Cross multiply
    3,076.77x = 4,609.91 × 1,691.27
  4. Step 4: Simplify right side
    3,076.77x = 7,796,570.98
  5. Step 5: Solve for x
    x = 7,796,570.98/3,076.77
  6. Step 6: Final answer
    x = 2,534.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.