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Finding the Fourth Proportional to 2,272.56, 3,409.70 and 733.56

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Solution

The fourth proportional to 2,272.56, 3,409.70 and 733.56 is: 1,100.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,272.56 : 3,409.70 = 733.56 : x
  2. Step 2: Convert to fraction form
    2,272.56/3,409.70 = 733.56/x
  3. Step 3: Cross multiply
    2,272.56x = 3,409.70 × 733.56
  4. Step 4: Simplify right side
    2,272.56x = 2,501,219.53
  5. Step 5: Solve for x
    x = 2,501,219.53/2,272.56
  6. Step 6: Final answer
    x = 1,100.62

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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.