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Finding the Fourth Proportional to 2,882.25, 3,969.14 and 2,503.97

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Solution

The fourth proportional to 2,882.25, 3,969.14 and 2,503.97 is: 3,448.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,882.25 : 3,969.14 = 2,503.97 : x
  2. Step 2: Convert to fraction form
    2,882.25/3,969.14 = 2,503.97/x
  3. Step 3: Cross multiply
    2,882.25x = 3,969.14 × 2,503.97
  4. Step 4: Simplify right side
    2,882.25x = 9,938,603.81
  5. Step 5: Solve for x
    x = 9,938,603.81/2,882.25
  6. Step 6: Final answer
    x = 3,448.21

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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.