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Finding the Fourth Proportional to 2,882.76, 3,969.83 and 2,504.47

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Solution

The fourth proportional to 2,882.76, 3,969.83 and 2,504.47 is: 3,448.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,882.76 : 3,969.83 = 2,504.47 : x
  2. Step 2: Convert to fraction form
    2,882.76/3,969.83 = 2,504.47/x
  3. Step 3: Cross multiply
    2,882.76x = 3,969.83 × 2,504.47
  4. Step 4: Simplify right side
    2,882.76x = 9,942,307.62
  5. Step 5: Solve for x
    x = 9,942,307.62/2,882.76
  6. Step 6: Final answer
    x = 3,448.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.