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Finding the Fourth Proportional to 2,751.24, 4,127.26 and 803.20

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Solution

The fourth proportional to 2,751.24, 4,127.26 and 803.20 is: 1,204.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,751.24 : 4,127.26 = 803.20 : x
  2. Step 2: Convert to fraction form
    2,751.24/4,127.26 = 803.20/x
  3. Step 3: Cross multiply
    2,751.24x = 4,127.26 × 803.20
  4. Step 4: Simplify right side
    2,751.24x = 3,315,015.23
  5. Step 5: Solve for x
    x = 3,315,015.23/2,751.24
  6. Step 6: Final answer
    x = 1,204.92

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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.