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Finding the Fourth Proportional to 2,051.73, 3,076.25 and 1,685.61

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Solution

The fourth proportional to 2,051.73, 3,076.25 and 1,685.61 is: 2,527.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,051.73 : 3,076.25 = 1,685.61 : x
  2. Step 2: Convert to fraction form
    2,051.73/3,076.25 = 1,685.61/x
  3. Step 3: Cross multiply
    2,051.73x = 3,076.25 × 1,685.61
  4. Step 4: Simplify right side
    2,051.73x = 5,185,349.33
  5. Step 5: Solve for x
    x = 5,185,349.33/2,051.73
  6. Step 6: Final answer
    x = 2,527.31

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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.