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Finding the Fourth Proportional to 2,085.94, 3,126.46 and 851.96

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Solution

The fourth proportional to 2,085.94, 3,126.46 and 851.96 is: 1,276.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,085.94 : 3,126.46 = 851.96 : x
  2. Step 2: Convert to fraction form
    2,085.94/3,126.46 = 851.96/x
  3. Step 3: Cross multiply
    2,085.94x = 3,126.46 × 851.96
  4. Step 4: Simplify right side
    2,085.94x = 2,663,618.86
  5. Step 5: Solve for x
    x = 2,663,618.86/2,085.94
  6. Step 6: Final answer
    x = 1,276.94

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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.