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Finding the Fourth Proportional to 2,120.01, 3,178.18 and 822.39

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Solution

The fourth proportional to 2,120.01, 3,178.18 and 822.39 is: 1,232.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,120.01 : 3,178.18 = 822.39 : x
  2. Step 2: Convert to fraction form
    2,120.01/3,178.18 = 822.39/x
  3. Step 3: Cross multiply
    2,120.01x = 3,178.18 × 822.39
  4. Step 4: Simplify right side
    2,120.01x = 2,613,703.45
  5. Step 5: Solve for x
    x = 2,613,703.45/2,120.01
  6. Step 6: Final answer
    x = 1,232.87

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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.