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Finding the Fourth Proportional to 2,950.44, 4,071.44 and 1,691.24

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Solution

The fourth proportional to 2,950.44, 4,071.44 and 1,691.24 is: 2,333.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,950.44 : 4,071.44 = 1,691.24 : x
  2. Step 2: Convert to fraction form
    2,950.44/4,071.44 = 1,691.24/x
  3. Step 3: Cross multiply
    2,950.44x = 4,071.44 × 1,691.24
  4. Step 4: Simplify right side
    2,950.44x = 6,885,782.19
  5. Step 5: Solve for x
    x = 6,885,782.19/2,950.44
  6. Step 6: Final answer
    x = 2,333.82

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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.