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Finding the Fourth Proportional to 2,071.44, 3,107.43 and 755.19

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Solution

The fourth proportional to 2,071.44, 3,107.43 and 755.19 is: 1,132.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,071.44 : 3,107.43 = 755.19 : x
  2. Step 2: Convert to fraction form
    2,071.44/3,107.43 = 755.19/x
  3. Step 3: Cross multiply
    2,071.44x = 3,107.43 × 755.19
  4. Step 4: Simplify right side
    2,071.44x = 2,346,700.06
  5. Step 5: Solve for x
    x = 2,346,700.06/2,071.44
  6. Step 6: Final answer
    x = 1,132.88

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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.