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Finding the Fourth Proportional to 2,882.69, 4,323.75 and 2,104.23

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Solution

The fourth proportional to 2,882.69, 4,323.75 and 2,104.23 is: 3,156.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,882.69 : 4,323.75 = 2,104.23 : x
  2. Step 2: Convert to fraction form
    2,882.69/4,323.75 = 2,104.23/x
  3. Step 3: Cross multiply
    2,882.69x = 4,323.75 × 2,104.23
  4. Step 4: Simplify right side
    2,882.69x = 9,098,166.22
  5. Step 5: Solve for x
    x = 9,098,166.22/2,882.69
  6. Step 6: Final answer
    x = 3,156.14

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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.