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Finding the Fourth Proportional to 2,441.54, 3,668.69 and 2,281.57

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Solution

The fourth proportional to 2,441.54, 3,668.69 and 2,281.57 is: 3,428.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,441.54 : 3,668.69 = 2,281.57 : x
  2. Step 2: Convert to fraction form
    2,441.54/3,668.69 = 2,281.57/x
  3. Step 3: Cross multiply
    2,441.54x = 3,668.69 × 2,281.57
  4. Step 4: Simplify right side
    2,441.54x = 8,370,369.58
  5. Step 5: Solve for x
    x = 8,370,369.58/2,441.54
  6. Step 6: Final answer
    x = 3,428.31

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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.