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Finding the Fourth Proportional to 2,584.31, 3,895.54 and 2,433.80

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Solution

The fourth proportional to 2,584.31, 3,895.54 and 2,433.80 is: 3,668.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,584.31 : 3,895.54 = 2,433.80 : x
  2. Step 2: Convert to fraction form
    2,584.31/3,895.54 = 2,433.80/x
  3. Step 3: Cross multiply
    2,584.31x = 3,895.54 × 2,433.80
  4. Step 4: Simplify right side
    2,584.31x = 9,480,960.68
  5. Step 5: Solve for x
    x = 9,480,960.68/2,584.31
  6. Step 6: Final answer
    x = 3,668.67

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.