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Finding the Fourth Proportional to 2,833.92, 3,911.57 and 1,839.13

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Solution

The fourth proportional to 2,833.92, 3,911.57 and 1,839.13 is: 2,538.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,833.92 : 3,911.57 = 1,839.13 : x
  2. Step 2: Convert to fraction form
    2,833.92/3,911.57 = 1,839.13/x
  3. Step 3: Cross multiply
    2,833.92x = 3,911.57 × 1,839.13
  4. Step 4: Simplify right side
    2,833.92x = 7,193,900.11
  5. Step 5: Solve for x
    x = 7,193,900.11/2,833.92
  6. Step 6: Final answer
    x = 2,538.50

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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.