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Finding the Fourth Proportional to 2,026.92, 3,039.02 and 728.22

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Solution

The fourth proportional to 2,026.92, 3,039.02 and 728.22 is: 1,091.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,026.92 : 3,039.02 = 728.22 : x
  2. Step 2: Convert to fraction form
    2,026.92/3,039.02 = 728.22/x
  3. Step 3: Cross multiply
    2,026.92x = 3,039.02 × 728.22
  4. Step 4: Simplify right side
    2,026.92x = 2,213,075.14
  5. Step 5: Solve for x
    x = 2,213,075.14/2,026.92
  6. Step 6: Final answer
    x = 1,091.84

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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.