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Finding the Fourth Proportional to 3,074.36, 4,610.86 and 883.27

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Solution

The fourth proportional to 3,074.36, 4,610.86 and 883.27 is: 1,324.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,074.36 : 4,610.86 = 883.27 : x
  2. Step 2: Convert to fraction form
    3,074.36/4,610.86 = 883.27/x
  3. Step 3: Cross multiply
    3,074.36x = 4,610.86 × 883.27
  4. Step 4: Simplify right side
    3,074.36x = 4,072,620.58
  5. Step 5: Solve for x
    x = 4,072,620.58/3,074.36
  6. Step 6: Final answer
    x = 1,324.70

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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.