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Finding the Fourth Proportional to 3,310.46, 4,965.68 and 2,078.74

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Solution

The fourth proportional to 3,310.46, 4,965.68 and 2,078.74 is: 3,118.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,310.46 : 4,965.68 = 2,078.74 : x
  2. Step 2: Convert to fraction form
    3,310.46/4,965.68 = 2,078.74/x
  3. Step 3: Cross multiply
    3,310.46x = 4,965.68 × 2,078.74
  4. Step 4: Simplify right side
    3,310.46x = 10,322,332.81
  5. Step 5: Solve for x
    x = 10,322,332.81/3,310.46
  6. Step 6: Final answer
    x = 3,118.10

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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.