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Finding the Fourth Proportional to 2,741.96, 4,112.90 and 689.96

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Solution

The fourth proportional to 2,741.96, 4,112.90 and 689.96 is: 1,034.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,741.96 : 4,112.90 = 689.96 : x
  2. Step 2: Convert to fraction form
    2,741.96/4,112.90 = 689.96/x
  3. Step 3: Cross multiply
    2,741.96x = 4,112.90 × 689.96
  4. Step 4: Simplify right side
    2,741.96x = 2,837,736.48
  5. Step 5: Solve for x
    x = 2,837,736.48/2,741.96
  6. Step 6: Final answer
    x = 1,034.93

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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.