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Finding the Fourth Proportional to 2,039.78, 3,059.26 and 999.33

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Solution

The fourth proportional to 2,039.78, 3,059.26 and 999.33 is: 1,498.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,039.78 : 3,059.26 = 999.33 : x
  2. Step 2: Convert to fraction form
    2,039.78/3,059.26 = 999.33/x
  3. Step 3: Cross multiply
    2,039.78x = 3,059.26 × 999.33
  4. Step 4: Simplify right side
    2,039.78x = 3,057,210.30
  5. Step 5: Solve for x
    x = 3,057,210.30/2,039.78
  6. Step 6: Final answer
    x = 1,498.80

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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.