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Finding the Fourth Proportional to 2,066.78, 3,100.16 and 895.82

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Solution

The fourth proportional to 2,066.78, 3,100.16 and 895.82 is: 1,343.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,066.78 : 3,100.16 = 895.82 : x
  2. Step 2: Convert to fraction form
    2,066.78/3,100.16 = 895.82/x
  3. Step 3: Cross multiply
    2,066.78x = 3,100.16 × 895.82
  4. Step 4: Simplify right side
    2,066.78x = 2,777,185.33
  5. Step 5: Solve for x
    x = 2,777,185.33/2,066.78
  6. Step 6: Final answer
    x = 1,343.73

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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.