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Finding the Fourth Proportional to 2,188.71, 3,283.29 and 727.47

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Solution

The fourth proportional to 2,188.71, 3,283.29 and 727.47 is: 1,091.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,188.71 : 3,283.29 = 727.47 : x
  2. Step 2: Convert to fraction form
    2,188.71/3,283.29 = 727.47/x
  3. Step 3: Cross multiply
    2,188.71x = 3,283.29 × 727.47
  4. Step 4: Simplify right side
    2,188.71x = 2,388,494.98
  5. Step 5: Solve for x
    x = 2,388,494.98/2,188.71
  6. Step 6: Final answer
    x = 1,091.28

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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.