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Finding the Fourth Proportional to 2,189.09, 3,281.54 and 727.44

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Solution

The fourth proportional to 2,189.09, 3,281.54 and 727.44 is: 1,090.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,189.09 : 3,281.54 = 727.44 : x
  2. Step 2: Convert to fraction form
    2,189.09/3,281.54 = 727.44/x
  3. Step 3: Cross multiply
    2,189.09x = 3,281.54 × 727.44
  4. Step 4: Simplify right side
    2,189.09x = 2,387,119.82
  5. Step 5: Solve for x
    x = 2,387,119.82/2,189.09
  6. Step 6: Final answer
    x = 1,090.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.