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Finding the Fourth Proportional to 2,725.05, 4,087.71 and 777.41

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Solution

The fourth proportional to 2,725.05, 4,087.71 and 777.41 is: 1,166.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,725.05 : 4,087.71 = 777.41 : x
  2. Step 2: Convert to fraction form
    2,725.05/4,087.71 = 777.41/x
  3. Step 3: Cross multiply
    2,725.05x = 4,087.71 × 777.41
  4. Step 4: Simplify right side
    2,725.05x = 3,177,826.63
  5. Step 5: Solve for x
    x = 3,177,826.63/2,725.05
  6. Step 6: Final answer
    x = 1,166.15

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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.