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Finding the Fourth Proportional to 2,749.37, 4,124.12 and 801.59

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Solution

The fourth proportional to 2,749.37, 4,124.12 and 801.59 is: 1,202.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,749.37 : 4,124.12 = 801.59 : x
  2. Step 2: Convert to fraction form
    2,749.37/4,124.12 = 801.59/x
  3. Step 3: Cross multiply
    2,749.37x = 4,124.12 × 801.59
  4. Step 4: Simplify right side
    2,749.37x = 3,305,828.72
  5. Step 5: Solve for x
    x = 3,305,828.72/2,749.37
  6. Step 6: Final answer
    x = 1,202.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.