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Finding the Fourth Proportional to 2,120.68, 3,182.22 and 2,103.94

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Solution

The fourth proportional to 2,120.68, 3,182.22 and 2,103.94 is: 3,157.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,120.68 : 3,182.22 = 2,103.94 : x
  2. Step 2: Convert to fraction form
    2,120.68/3,182.22 = 2,103.94/x
  3. Step 3: Cross multiply
    2,120.68x = 3,182.22 × 2,103.94
  4. Step 4: Simplify right side
    2,120.68x = 6,695,199.95
  5. Step 5: Solve for x
    x = 6,695,199.95/2,120.68
  6. Step 6: Final answer
    x = 3,157.10

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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.