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Finding the Fourth Proportional to 2,076.89, 3,114.25 and 843.59

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Solution

The fourth proportional to 2,076.89, 3,114.25 and 843.59 is: 1,264.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,076.89 : 3,114.25 = 843.59 : x
  2. Step 2: Convert to fraction form
    2,076.89/3,114.25 = 843.59/x
  3. Step 3: Cross multiply
    2,076.89x = 3,114.25 × 843.59
  4. Step 4: Simplify right side
    2,076.89x = 2,627,155.83
  5. Step 5: Solve for x
    x = 2,627,155.83/2,076.89
  6. Step 6: Final answer
    x = 1,264.95

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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.