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Finding the Fourth Proportional to 2,580.39, 3,863.67 and 2,033.64

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Solution

The fourth proportional to 2,580.39, 3,863.67 and 2,033.64 is: 3,045.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,580.39 : 3,863.67 = 2,033.64 : x
  2. Step 2: Convert to fraction form
    2,580.39/3,863.67 = 2,033.64/x
  3. Step 3: Cross multiply
    2,580.39x = 3,863.67 × 2,033.64
  4. Step 4: Simplify right side
    2,580.39x = 7,857,313.86
  5. Step 5: Solve for x
    x = 7,857,313.86/2,580.39
  6. Step 6: Final answer
    x = 3,045.01

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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.