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Finding the Fourth Proportional to 2,186.39, 3,280.20 and 726.57

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Solution

The fourth proportional to 2,186.39, 3,280.20 and 726.57 is: 1,090.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,186.39 : 3,280.20 = 726.57 : x
  2. Step 2: Convert to fraction form
    2,186.39/3,280.20 = 726.57/x
  3. Step 3: Cross multiply
    2,186.39x = 3,280.20 × 726.57
  4. Step 4: Simplify right side
    2,186.39x = 2,383,292.19
  5. Step 5: Solve for x
    x = 2,383,292.19/2,186.39
  6. Step 6: Final answer
    x = 1,090.06

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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.