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Finding the Fourth Proportional to 3,051.05, 4,576.57 and 742.55

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Solution

The fourth proportional to 3,051.05, 4,576.57 and 742.55 is: 1,113.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,051.05 : 4,576.57 = 742.55 : x
  2. Step 2: Convert to fraction form
    3,051.05/4,576.57 = 742.55/x
  3. Step 3: Cross multiply
    3,051.05x = 4,576.57 × 742.55
  4. Step 4: Simplify right side
    3,051.05x = 3,398,318.68
  5. Step 5: Solve for x
    x = 3,398,318.68/3,051.05
  6. Step 6: Final answer
    x = 1,113.82

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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.