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Finding the Fourth Proportional to 2,725.89, 4,089.65 and 851.70

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Solution

The fourth proportional to 2,725.89, 4,089.65 and 851.70 is: 1,277.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,725.89 : 4,089.65 = 851.70 : x
  2. Step 2: Convert to fraction form
    2,725.89/4,089.65 = 851.70/x
  3. Step 3: Cross multiply
    2,725.89x = 4,089.65 × 851.70
  4. Step 4: Simplify right side
    2,725.89x = 3,483,158.40
  5. Step 5: Solve for x
    x = 3,483,158.40/2,725.89
  6. Step 6: Final answer
    x = 1,277.81

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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.