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Finding the Fourth Proportional to 2,824.89, 3,889.25 and 2,425.76

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Solution

The fourth proportional to 2,824.89, 3,889.25 and 2,425.76 is: 3,339.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,824.89 : 3,889.25 = 2,425.76 : x
  2. Step 2: Convert to fraction form
    2,824.89/3,889.25 = 2,425.76/x
  3. Step 3: Cross multiply
    2,824.89x = 3,889.25 × 2,425.76
  4. Step 4: Simplify right side
    2,824.89x = 9,434,379.19
  5. Step 5: Solve for x
    x = 9,434,379.19/2,824.89
  6. Step 6: Final answer
    x = 3,339.74

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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.