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Finding the Fourth Proportional to 3,051.26, 4,576.89 and 742.74

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Solution

The fourth proportional to 3,051.26, 4,576.89 and 742.74 is: 1,114.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,051.26 : 4,576.89 = 742.74 : x
  2. Step 2: Convert to fraction form
    3,051.26/4,576.89 = 742.74/x
  3. Step 3: Cross multiply
    3,051.26x = 4,576.89 × 742.74
  4. Step 4: Simplify right side
    3,051.26x = 3,399,439.28
  5. Step 5: Solve for x
    x = 3,399,439.28/3,051.26
  6. Step 6: Final answer
    x = 1,114.11

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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.