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Finding the Fourth Proportional to 2,072.73, 2,864.18 and 1,512.25

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Solution

The fourth proportional to 2,072.73, 2,864.18 and 1,512.25 is: 2,089.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,072.73 : 2,864.18 = 1,512.25 : x
  2. Step 2: Convert to fraction form
    2,072.73/2,864.18 = 1,512.25/x
  3. Step 3: Cross multiply
    2,072.73x = 2,864.18 × 1,512.25
  4. Step 4: Simplify right side
    2,072.73x = 4,331,356.21
  5. Step 5: Solve for x
    x = 4,331,356.21/2,072.73
  6. Step 6: Final answer
    x = 2,089.69

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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.