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Finding the Fourth Proportional to 2,149.76, 3,203.92 and 2,106.56

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Solution

The fourth proportional to 2,149.76, 3,203.92 and 2,106.56 is: 3,139.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,149.76 : 3,203.92 = 2,106.56 : x
  2. Step 2: Convert to fraction form
    2,149.76/3,203.92 = 2,106.56/x
  3. Step 3: Cross multiply
    2,149.76x = 3,203.92 × 2,106.56
  4. Step 4: Simplify right side
    2,149.76x = 6,749,249.72
  5. Step 5: Solve for x
    x = 6,749,249.72/2,149.76
  6. Step 6: Final answer
    x = 3,139.54

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.