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Finding the Fourth Proportional to 2,473, 3,709.50 and 741.63

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Solution

The fourth proportional to 2,473, 3,709.50 and 741.63 is: 1,112.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,473 : 3,709.50 = 741.63 : x
  2. Step 2: Convert to fraction form
    2,473/3,709.50 = 741.63/x
  3. Step 3: Cross multiply
    2,473x = 3,709.50 × 741.63
  4. Step 4: Simplify right side
    2,473x = 2,751,057.94
  5. Step 5: Solve for x
    x = 2,751,057.94/2,473
  6. Step 6: Final answer
    x = 1,112.44

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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.