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Finding the Fourth Proportional to 1,944.02, 2,917.20 and 1,019.78

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Solution

The fourth proportional to 1,944.02, 2,917.20 and 1,019.78 is: 1,530.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,944.02 : 2,917.20 = 1,019.78 : x
  2. Step 2: Convert to fraction form
    1,944.02/2,917.20 = 1,019.78/x
  3. Step 3: Cross multiply
    1,944.02x = 2,917.20 × 1,019.78
  4. Step 4: Simplify right side
    1,944.02x = 2,974,902.22
  5. Step 5: Solve for x
    x = 2,974,902.22/1,944.02
  6. Step 6: Final answer
    x = 1,530.28

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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.