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Finding the Fourth Proportional to 1,763.31, 2,645.01 and 838.38

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Solution

The fourth proportional to 1,763.31, 2,645.01 and 838.38 is: 1,257.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,763.31 : 2,645.01 = 838.38 : x
  2. Step 2: Convert to fraction form
    1,763.31/2,645.01 = 838.38/x
  3. Step 3: Cross multiply
    1,763.31x = 2,645.01 × 838.38
  4. Step 4: Simplify right side
    1,763.31x = 2,217,523.48
  5. Step 5: Solve for x
    x = 2,217,523.48/1,763.31
  6. Step 6: Final answer
    x = 1,257.59

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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.