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Finding the Fourth Proportional to 1,881.82, 2,819.08 and 1,057.58

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Solution

The fourth proportional to 1,881.82, 2,819.08 and 1,057.58 is: 1,584.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,881.82 : 2,819.08 = 1,057.58 : x
  2. Step 2: Convert to fraction form
    1,881.82/2,819.08 = 1,057.58/x
  3. Step 3: Cross multiply
    1,881.82x = 2,819.08 × 1,057.58
  4. Step 4: Simplify right side
    1,881.82x = 2,981,402.63
  5. Step 5: Solve for x
    x = 2,981,402.63/1,881.82
  6. Step 6: Final answer
    x = 1,584.32

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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.