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Finding the Fourth Proportional to 2,749.70, 4,129.35 and 2,663.30

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Solution

The fourth proportional to 2,749.70, 4,129.35 and 2,663.30 is: 3,999.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,749.70 : 4,129.35 = 2,663.30 : x
  2. Step 2: Convert to fraction form
    2,749.70/4,129.35 = 2,663.30/x
  3. Step 3: Cross multiply
    2,749.70x = 4,129.35 × 2,663.30
  4. Step 4: Simplify right side
    2,749.70x = 10,997,697.86
  5. Step 5: Solve for x
    x = 10,997,697.86/2,749.70
  6. Step 6: Final answer
    x = 3,999.60

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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.