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Finding the Fourth Proportional to 2,188.78, 3,282.10 and 727.45

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Solution

The fourth proportional to 2,188.78, 3,282.10 and 727.45 is: 1,090.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,188.78 : 3,282.10 = 727.45 : x
  2. Step 2: Convert to fraction form
    2,188.78/3,282.10 = 727.45/x
  3. Step 3: Cross multiply
    2,188.78x = 3,282.10 × 727.45
  4. Step 4: Simplify right side
    2,188.78x = 2,387,563.65
  5. Step 5: Solve for x
    x = 2,387,563.65/2,188.78
  6. Step 6: Final answer
    x = 1,090.82

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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.