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Finding the Fourth Proportional to 2,882.97, 3,981.42 and 2,483.82

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Solution

The fourth proportional to 2,882.97, 3,981.42 and 2,483.82 is: 3,430.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,882.97 : 3,981.42 = 2,483.82 : x
  2. Step 2: Convert to fraction form
    2,882.97/3,981.42 = 2,483.82/x
  3. Step 3: Cross multiply
    2,882.97x = 3,981.42 × 2,483.82
  4. Step 4: Simplify right side
    2,882.97x = 9,889,130.62
  5. Step 5: Solve for x
    x = 9,889,130.62/2,882.97
  6. Step 6: Final answer
    x = 3,430.19

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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.