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Finding the Fourth Proportional to 2,950, 4,071.54 and 2,067.12

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Solution

The fourth proportional to 2,950, 4,071.54 and 2,067.12 is: 2,853.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,950 : 4,071.54 = 2,067.12 : x
  2. Step 2: Convert to fraction form
    2,950/4,071.54 = 2,067.12/x
  3. Step 3: Cross multiply
    2,950x = 4,071.54 × 2,067.12
  4. Step 4: Simplify right side
    2,950x = 8,416,361.76
  5. Step 5: Solve for x
    x = 8,416,361.76/2,950
  6. Step 6: Final answer
    x = 2,853.00

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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.