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Finding the Fourth Proportional to 2,975.52, 4,462.94 and 754.34

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Solution

The fourth proportional to 2,975.52, 4,462.94 and 754.34 is: 1,131.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,975.52 : 4,462.94 = 754.34 : x
  2. Step 2: Convert to fraction form
    2,975.52/4,462.94 = 754.34/x
  3. Step 3: Cross multiply
    2,975.52x = 4,462.94 × 754.34
  4. Step 4: Simplify right side
    2,975.52x = 3,366,559.23
  5. Step 5: Solve for x
    x = 3,366,559.23/2,975.52
  6. Step 6: Final answer
    x = 1,131.42

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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.