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Finding the Fourth Proportional to 2,178.05, 3,270.16 and 2,141.15

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Solution

The fourth proportional to 2,178.05, 3,270.16 and 2,141.15 is: 3,214.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,178.05 : 3,270.16 = 2,141.15 : x
  2. Step 2: Convert to fraction form
    2,178.05/3,270.16 = 2,141.15/x
  3. Step 3: Cross multiply
    2,178.05x = 3,270.16 × 2,141.15
  4. Step 4: Simplify right side
    2,178.05x = 7,001,903.08
  5. Step 5: Solve for x
    x = 7,001,903.08/2,178.05
  6. Step 6: Final answer
    x = 3,214.76

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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.