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Finding the Fourth Proportional to 2,020.88, 2,788.16 and 1,234.38

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Solution

The fourth proportional to 2,020.88, 2,788.16 and 1,234.38 is: 1,703.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,020.88 : 2,788.16 = 1,234.38 : x
  2. Step 2: Convert to fraction form
    2,020.88/2,788.16 = 1,234.38/x
  3. Step 3: Cross multiply
    2,020.88x = 2,788.16 × 1,234.38
  4. Step 4: Simplify right side
    2,020.88x = 3,441,648.94
  5. Step 5: Solve for x
    x = 3,441,648.94/2,020.88
  6. Step 6: Final answer
    x = 1,703.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.