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Finding the Fourth Proportional to 3,222.76, 4,447.40 and 1,825.78

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Solution

The fourth proportional to 3,222.76, 4,447.40 and 1,825.78 is: 2,519.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,222.76 : 4,447.40 = 1,825.78 : x
  2. Step 2: Convert to fraction form
    3,222.76/4,447.40 = 1,825.78/x
  3. Step 3: Cross multiply
    3,222.76x = 4,447.40 × 1,825.78
  4. Step 4: Simplify right side
    3,222.76x = 8,119,973.97
  5. Step 5: Solve for x
    x = 8,119,973.97/3,222.76
  6. Step 6: Final answer
    x = 2,519.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.