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Finding the Fourth Proportional to 1,949.62, 2,921.13 and 1,178.50

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Solution

The fourth proportional to 1,949.62, 2,921.13 and 1,178.50 is: 1,765.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,949.62 : 2,921.13 = 1,178.50 : x
  2. Step 2: Convert to fraction form
    1,949.62/2,921.13 = 1,178.50/x
  3. Step 3: Cross multiply
    1,949.62x = 2,921.13 × 1,178.50
  4. Step 4: Simplify right side
    1,949.62x = 3,442,551.71
  5. Step 5: Solve for x
    x = 3,442,551.71/1,949.62
  6. Step 6: Final answer
    x = 1,765.76

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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.