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Finding the Fourth Proportional to 1,944.56, 2,918.70 and 849.26

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Solution

The fourth proportional to 1,944.56, 2,918.70 and 849.26 is: 1,274.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,944.56 : 2,918.70 = 849.26 : x
  2. Step 2: Convert to fraction form
    1,944.56/2,918.70 = 849.26/x
  3. Step 3: Cross multiply
    1,944.56x = 2,918.70 × 849.26
  4. Step 4: Simplify right side
    1,944.56x = 2,478,735.16
  5. Step 5: Solve for x
    x = 2,478,735.16/1,944.56
  6. Step 6: Final answer
    x = 1,274.70

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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.