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Finding the Fourth Proportional to 2,120.20, 3,176.82 and 2,039.20

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Solution

The fourth proportional to 2,120.20, 3,176.82 and 2,039.20 is: 3,055.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,120.20 : 3,176.82 = 2,039.20 : x
  2. Step 2: Convert to fraction form
    2,120.20/3,176.82 = 2,039.20/x
  3. Step 3: Cross multiply
    2,120.20x = 3,176.82 × 2,039.20
  4. Step 4: Simplify right side
    2,120.20x = 6,478,171.34
  5. Step 5: Solve for x
    x = 6,478,171.34/2,120.20
  6. Step 6: Final answer
    x = 3,055.45

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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.