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Finding the Fourth Proportional to 2,185.75, 3,016.34 and 1,254.55

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Solution

The fourth proportional to 2,185.75, 3,016.34 and 1,254.55 is: 1,731.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,185.75 : 3,016.34 = 1,254.55 : x
  2. Step 2: Convert to fraction form
    2,185.75/3,016.34 = 1,254.55/x
  3. Step 3: Cross multiply
    2,185.75x = 3,016.34 × 1,254.55
  4. Step 4: Simplify right side
    2,185.75x = 3,784,149.35
  5. Step 5: Solve for x
    x = 3,784,149.35/2,185.75
  6. Step 6: Final answer
    x = 1,731.28

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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.