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Finding the Fourth Proportional to 1,788.14, 2,680.14 and 1,058.33

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Solution

The fourth proportional to 1,788.14, 2,680.14 and 1,058.33 is: 1,586.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,788.14 : 2,680.14 = 1,058.33 : x
  2. Step 2: Convert to fraction form
    1,788.14/2,680.14 = 1,058.33/x
  3. Step 3: Cross multiply
    1,788.14x = 2,680.14 × 1,058.33
  4. Step 4: Simplify right side
    1,788.14x = 2,836,472.57
  5. Step 5: Solve for x
    x = 2,836,472.57/1,788.14
  6. Step 6: Final answer
    x = 1,586.27

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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.