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Finding the Fourth Proportional to 2,515.73, 3,464.17 and 2,072.86

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Solution

The fourth proportional to 2,515.73, 3,464.17 and 2,072.86 is: 2,854.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,515.73 : 3,464.17 = 2,072.86 : x
  2. Step 2: Convert to fraction form
    2,515.73/3,464.17 = 2,072.86/x
  3. Step 3: Cross multiply
    2,515.73x = 3,464.17 × 2,072.86
  4. Step 4: Simplify right side
    2,515.73x = 7,180,725.58
  5. Step 5: Solve for x
    x = 7,180,725.58/2,515.73
  6. Step 6: Final answer
    x = 2,854.34

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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.