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Finding the Fourth Proportional to 2,060.78, 3,091.17 and 965.91

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Solution

The fourth proportional to 2,060.78, 3,091.17 and 965.91 is: 1,448.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,060.78 : 3,091.17 = 965.91 : x
  2. Step 2: Convert to fraction form
    2,060.78/3,091.17 = 965.91/x
  3. Step 3: Cross multiply
    2,060.78x = 3,091.17 × 965.91
  4. Step 4: Simplify right side
    2,060.78x = 2,985,792.01
  5. Step 5: Solve for x
    x = 2,985,792.01/2,060.78
  6. Step 6: Final answer
    x = 1,448.87

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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.