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Finding the Fourth Proportional to 3,186.09, 4,776.71 and 1,453.50

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Solution

The fourth proportional to 3,186.09, 4,776.71 and 1,453.50 is: 2,179.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,186.09 : 4,776.71 = 1,453.50 : x
  2. Step 2: Convert to fraction form
    3,186.09/4,776.71 = 1,453.50/x
  3. Step 3: Cross multiply
    3,186.09x = 4,776.71 × 1,453.50
  4. Step 4: Simplify right side
    3,186.09x = 6,942,940.72
  5. Step 5: Solve for x
    x = 6,942,940.72/3,186.09
  6. Step 6: Final answer
    x = 2,179.14

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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.