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Finding the Fourth Proportional to 3,185.73, 4,780.02 and 1,723.17

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Solution

The fourth proportional to 3,185.73, 4,780.02 and 1,723.17 is: 2,585.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,185.73 : 4,780.02 = 1,723.17 : x
  2. Step 2: Convert to fraction form
    3,185.73/4,780.02 = 1,723.17/x
  3. Step 3: Cross multiply
    3,185.73x = 4,780.02 × 1,723.17
  4. Step 4: Simplify right side
    3,185.73x = 8,236,787.06
  5. Step 5: Solve for x
    x = 8,236,787.06/3,185.73
  6. Step 6: Final answer
    x = 2,585.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.