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Finding the Fourth Proportional to 1,944.46, 2,914.79 and 774.11

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Solution

The fourth proportional to 1,944.46, 2,914.79 and 774.11 is: 1,160.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,944.46 : 2,914.79 = 774.11 : x
  2. Step 2: Convert to fraction form
    1,944.46/2,914.79 = 774.11/x
  3. Step 3: Cross multiply
    1,944.46x = 2,914.79 × 774.11
  4. Step 4: Simplify right side
    1,944.46x = 2,256,355.11
  5. Step 5: Solve for x
    x = 2,256,355.11/1,944.46
  6. Step 6: Final answer
    x = 1,160.40

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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.