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Finding the Fourth Proportional to 2,749.42, 4,124.10 and 669.42

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Solution

The fourth proportional to 2,749.42, 4,124.10 and 669.42 is: 1,004.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,749.42 : 4,124.10 = 669.42 : x
  2. Step 2: Convert to fraction form
    2,749.42/4,124.10 = 669.42/x
  3. Step 3: Cross multiply
    2,749.42x = 4,124.10 × 669.42
  4. Step 4: Simplify right side
    2,749.42x = 2,760,755.02
  5. Step 5: Solve for x
    x = 2,760,755.02/2,749.42
  6. Step 6: Final answer
    x = 1,004.12

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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.