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Finding the Fourth Proportional to 1,949.05, 2,921.62 and 778.63

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Solution

The fourth proportional to 1,949.05, 2,921.62 and 778.63 is: 1,167.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,949.05 : 2,921.62 = 778.63 : x
  2. Step 2: Convert to fraction form
    1,949.05/2,921.62 = 778.63/x
  3. Step 3: Cross multiply
    1,949.05x = 2,921.62 × 778.63
  4. Step 4: Simplify right side
    1,949.05x = 2,274,860.98
  5. Step 5: Solve for x
    x = 2,274,860.98/1,949.05
  6. Step 6: Final answer
    x = 1,167.16

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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.