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Finding the Fourth Proportional to 2,185.90, 3,277.59 and 724.66

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Solution

The fourth proportional to 2,185.90, 3,277.59 and 724.66 is: 1,086.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,185.90 : 3,277.59 = 724.66 : x
  2. Step 2: Convert to fraction form
    2,185.90/3,277.59 = 724.66/x
  3. Step 3: Cross multiply
    2,185.90x = 3,277.59 × 724.66
  4. Step 4: Simplify right side
    2,185.90x = 2,375,138.37
  5. Step 5: Solve for x
    x = 2,375,138.37/2,185.90
  6. Step 6: Final answer
    x = 1,086.57

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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.