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Finding the Fourth Proportional to 2,824.71, 4,235.97 and 2,042.34

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Solution

The fourth proportional to 2,824.71, 4,235.97 and 2,042.34 is: 3,062.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,824.71 : 4,235.97 = 2,042.34 : x
  2. Step 2: Convert to fraction form
    2,824.71/4,235.97 = 2,042.34/x
  3. Step 3: Cross multiply
    2,824.71x = 4,235.97 × 2,042.34
  4. Step 4: Simplify right side
    2,824.71x = 8,651,290.97
  5. Step 5: Solve for x
    x = 8,651,290.97/2,824.71
  6. Step 6: Final answer
    x = 3,062.72

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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.