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Finding the Fourth Proportional to 2,051.28, 3,074.28 and 751.20

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Solution

The fourth proportional to 2,051.28, 3,074.28 and 751.20 is: 1,125.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,051.28 : 3,074.28 = 751.20 : x
  2. Step 2: Convert to fraction form
    2,051.28/3,074.28 = 751.20/x
  3. Step 3: Cross multiply
    2,051.28x = 3,074.28 × 751.20
  4. Step 4: Simplify right side
    2,051.28x = 2,309,399.14
  5. Step 5: Solve for x
    x = 2,309,399.14/2,051.28
  6. Step 6: Final answer
    x = 1,125.83

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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.