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Finding the Fourth Proportional to 2,504.88, 3,756.31 and 749.27

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Solution

The fourth proportional to 2,504.88, 3,756.31 and 749.27 is: 1,123.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,504.88 : 3,756.31 = 749.27 : x
  2. Step 2: Convert to fraction form
    2,504.88/3,756.31 = 749.27/x
  3. Step 3: Cross multiply
    2,504.88x = 3,756.31 × 749.27
  4. Step 4: Simplify right side
    2,504.88x = 2,814,497.91
  5. Step 5: Solve for x
    x = 2,814,497.91/2,504.88
  6. Step 6: Final answer
    x = 1,123.61

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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.