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Finding the Fourth Proportional to 3,134.77, 4,316.14 and 2,661.68

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Solution

The fourth proportional to 3,134.77, 4,316.14 and 2,661.68 is: 3,664.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,134.77 : 4,316.14 = 2,661.68 : x
  2. Step 2: Convert to fraction form
    3,134.77/4,316.14 = 2,661.68/x
  3. Step 3: Cross multiply
    3,134.77x = 4,316.14 × 2,661.68
  4. Step 4: Simplify right side
    3,134.77x = 11,488,183.52
  5. Step 5: Solve for x
    x = 11,488,183.52/3,134.77
  6. Step 6: Final answer
    x = 3,664.76

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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.