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Finding the Fourth Proportional to 2,698.21, 3,711.83 and 2,199.76

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Solution

The fourth proportional to 2,698.21, 3,711.83 and 2,199.76 is: 3,026.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,698.21 : 3,711.83 = 2,199.76 : x
  2. Step 2: Convert to fraction form
    2,698.21/3,711.83 = 2,199.76/x
  3. Step 3: Cross multiply
    2,698.21x = 3,711.83 × 2,199.76
  4. Step 4: Simplify right side
    2,698.21x = 8,165,114.88
  5. Step 5: Solve for x
    x = 8,165,114.88/2,698.21
  6. Step 6: Final answer
    x = 3,026.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.