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Finding the Fourth Proportional to 1,949.36, 2,689.32 and 1,241.42

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Solution

The fourth proportional to 1,949.36, 2,689.32 and 1,241.42 is: 1,712.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,949.36 : 2,689.32 = 1,241.42 : x
  2. Step 2: Convert to fraction form
    1,949.36/2,689.32 = 1,241.42/x
  3. Step 3: Cross multiply
    1,949.36x = 2,689.32 × 1,241.42
  4. Step 4: Simplify right side
    1,949.36x = 3,338,575.63
  5. Step 5: Solve for x
    x = 3,338,575.63/1,949.36
  6. Step 6: Final answer
    x = 1,712.65

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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.