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Finding the Fourth Proportional to 2,083.14, 3,124.83 and 850.52

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Solution

The fourth proportional to 2,083.14, 3,124.83 and 850.52 is: 1,275.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,083.14 : 3,124.83 = 850.52 : x
  2. Step 2: Convert to fraction form
    2,083.14/3,124.83 = 850.52/x
  3. Step 3: Cross multiply
    2,083.14x = 3,124.83 × 850.52
  4. Step 4: Simplify right side
    2,083.14x = 2,657,730.41
  5. Step 5: Solve for x
    x = 2,657,730.41/2,083.14
  6. Step 6: Final answer
    x = 1,275.83

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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.