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Finding the Fourth Proportional to 2,472.82, 3,709.83 and 741.43

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Solution

The fourth proportional to 2,472.82, 3,709.83 and 741.43 is: 1,112.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,472.82 : 3,709.83 = 741.43 : x
  2. Step 2: Convert to fraction form
    2,472.82/3,709.83 = 741.43/x
  3. Step 3: Cross multiply
    2,472.82x = 3,709.83 × 741.43
  4. Step 4: Simplify right side
    2,472.82x = 2,750,579.26
  5. Step 5: Solve for x
    x = 2,750,579.26/2,472.82
  6. Step 6: Final answer
    x = 1,112.32

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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.