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Finding the Fourth Proportional to 2,780.76, 4,172.00 and 1,481.25

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Solution

The fourth proportional to 2,780.76, 4,172.00 and 1,481.25 is: 2,222.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,780.76 : 4,172.00 = 1,481.25 : x
  2. Step 2: Convert to fraction form
    2,780.76/4,172.00 = 1,481.25/x
  3. Step 3: Cross multiply
    2,780.76x = 4,172.00 × 1,481.25
  4. Step 4: Simplify right side
    2,780.76x = 6,179,767.59
  5. Step 5: Solve for x
    x = 6,179,767.59/2,780.76
  6. Step 6: Final answer
    x = 2,222.33

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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.