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Finding the Fourth Proportional to 1,892.97, 2,825.96 and 1,647

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Solution

The fourth proportional to 1,892.97, 2,825.96 and 1,647 is: 2,458.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,892.97 : 2,825.96 = 1,647 : x
  2. Step 2: Convert to fraction form
    1,892.97/2,825.96 = 1,647/x
  3. Step 3: Cross multiply
    1,892.97x = 2,825.96 × 1,647
  4. Step 4: Simplify right side
    1,892.97x = 4,654,347.89
  5. Step 5: Solve for x
    x = 4,654,347.89/1,892.97
  6. Step 6: Final answer
    x = 2,458.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.