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Finding the Fourth Proportional to 1,872.21, 2,809.43 and 832.28

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Solution

The fourth proportional to 1,872.21, 2,809.43 and 832.28 is: 1,248.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,872.21 : 2,809.43 = 832.28 : x
  2. Step 2: Convert to fraction form
    1,872.21/2,809.43 = 832.28/x
  3. Step 3: Cross multiply
    1,872.21x = 2,809.43 × 832.28
  4. Step 4: Simplify right side
    1,872.21x = 2,338,221.99
  5. Step 5: Solve for x
    x = 2,338,221.99/1,872.21
  6. Step 6: Final answer
    x = 1,248.91

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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.