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Finding the Fourth Proportional to 2,749.08, 4,122.81 and 800.67

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Solution

The fourth proportional to 2,749.08, 4,122.81 and 800.67 is: 1,200.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,749.08 : 4,122.81 = 800.67 : x
  2. Step 2: Convert to fraction form
    2,749.08/4,122.81 = 800.67/x
  3. Step 3: Cross multiply
    2,749.08x = 4,122.81 × 800.67
  4. Step 4: Simplify right side
    2,749.08x = 3,301,010.28
  5. Step 5: Solve for x
    x = 3,301,010.28/2,749.08
  6. Step 6: Final answer
    x = 1,200.77

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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.