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Finding the Fourth Proportional to 3,072.77, 4,613.79 and 2,454.64

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Solution

The fourth proportional to 3,072.77, 4,613.79 and 2,454.64 is: 3,685.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,072.77 : 4,613.79 = 2,454.64 : x
  2. Step 2: Convert to fraction form
    3,072.77/4,613.79 = 2,454.64/x
  3. Step 3: Cross multiply
    3,072.77x = 4,613.79 × 2,454.64
  4. Step 4: Simplify right side
    3,072.77x = 11,325,191.16
  5. Step 5: Solve for x
    x = 11,325,191.16/3,072.77
  6. Step 6: Final answer
    x = 3,685.66

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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.