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Finding the Fourth Proportional to 1,873, 2,805.81 and 945.82

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Solution

The fourth proportional to 1,873, 2,805.81 and 945.82 is: 1,416.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,873 : 2,805.81 = 945.82 : x
  2. Step 2: Convert to fraction form
    1,873/2,805.81 = 945.82/x
  3. Step 3: Cross multiply
    1,873x = 2,805.81 × 945.82
  4. Step 4: Simplify right side
    1,873x = 2,653,791.21
  5. Step 5: Solve for x
    x = 2,653,791.21/1,873
  6. Step 6: Final answer
    x = 1,416.87

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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.