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Finding the Fourth Proportional to 2,833.69, 4,250.99 and 985.36

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Solution

The fourth proportional to 2,833.69, 4,250.99 and 985.36 is: 1,478.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,833.69 : 4,250.99 = 985.36 : x
  2. Step 2: Convert to fraction form
    2,833.69/4,250.99 = 985.36/x
  3. Step 3: Cross multiply
    2,833.69x = 4,250.99 × 985.36
  4. Step 4: Simplify right side
    2,833.69x = 4,188,755.51
  5. Step 5: Solve for x
    x = 4,188,755.51/2,833.69
  6. Step 6: Final answer
    x = 1,478.20

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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.