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Finding the Fourth Proportional to 2,039.60, 3,059.91 and 578.77

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Solution

The fourth proportional to 2,039.60, 3,059.91 and 578.77 is: 868.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,039.60 : 3,059.91 = 578.77 : x
  2. Step 2: Convert to fraction form
    2,039.60/3,059.91 = 578.77/x
  3. Step 3: Cross multiply
    2,039.60x = 3,059.91 × 578.77
  4. Step 4: Simplify right side
    2,039.60x = 1,770,976.46
  5. Step 5: Solve for x
    x = 1,770,976.46/2,039.60
  6. Step 6: Final answer
    x = 868.29

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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.