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Finding the Fourth Proportional to 2,469.03, 3,703.73 and 780.29

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Solution

The fourth proportional to 2,469.03, 3,703.73 and 780.29 is: 1,170.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,469.03 : 3,703.73 = 780.29 : x
  2. Step 2: Convert to fraction form
    2,469.03/3,703.73 = 780.29/x
  3. Step 3: Cross multiply
    2,469.03x = 3,703.73 × 780.29
  4. Step 4: Simplify right side
    2,469.03x = 2,889,961.06
  5. Step 5: Solve for x
    x = 2,889,961.06/2,469.03
  6. Step 6: Final answer
    x = 1,170.48

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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.