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Finding the Fourth Proportional to 2,039.95, 3,059.27 and 578.71

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Solution

The fourth proportional to 2,039.95, 3,059.27 and 578.71 is: 867.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,039.95 : 3,059.27 = 578.71 : x
  2. Step 2: Convert to fraction form
    2,039.95/3,059.27 = 578.71/x
  3. Step 3: Cross multiply
    2,039.95x = 3,059.27 × 578.71
  4. Step 4: Simplify right side
    2,039.95x = 1,770,427.25
  5. Step 5: Solve for x
    x = 1,770,427.25/2,039.95
  6. Step 6: Final answer
    x = 867.88

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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.