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Finding the Fourth Proportional to 2,628.86, 3,939.10 and 2,106.14

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Solution

The fourth proportional to 2,628.86, 3,939.10 and 2,106.14 is: 3,155.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,628.86 : 3,939.10 = 2,106.14 : x
  2. Step 2: Convert to fraction form
    2,628.86/3,939.10 = 2,106.14/x
  3. Step 3: Cross multiply
    2,628.86x = 3,939.10 × 2,106.14
  4. Step 4: Simplify right side
    2,628.86x = 8,296,271.11
  5. Step 5: Solve for x
    x = 8,296,271.11/2,628.86
  6. Step 6: Final answer
    x = 3,155.85

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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.