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Finding the Fourth Proportional to 2,634, 3,944.66 and 1,461.23

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Solution

The fourth proportional to 2,634, 3,944.66 and 1,461.23 is: 2,188.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,634 : 3,944.66 = 1,461.23 : x
  2. Step 2: Convert to fraction form
    2,634/3,944.66 = 1,461.23/x
  3. Step 3: Cross multiply
    2,634x = 3,944.66 × 1,461.23
  4. Step 4: Simplify right side
    2,634x = 5,764,028.50
  5. Step 5: Solve for x
    x = 5,764,028.50/2,634
  6. Step 6: Final answer
    x = 2,188.32

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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.