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Finding the Fourth Proportional to 2,749.50, 4,123.44 and 801.24

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Solution

The fourth proportional to 2,749.50, 4,123.44 and 801.24 is: 1,201.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,749.50 : 4,123.44 = 801.24 : x
  2. Step 2: Convert to fraction form
    2,749.50/4,123.44 = 801.24/x
  3. Step 3: Cross multiply
    2,749.50x = 4,123.44 × 801.24
  4. Step 4: Simplify right side
    2,749.50x = 3,303,865.07
  5. Step 5: Solve for x
    x = 3,303,865.07/2,749.50
  6. Step 6: Final answer
    x = 1,201.62

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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.