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Finding the Fourth Proportional to 2,178.39, 3,265.16 and 943.95

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Solution

The fourth proportional to 2,178.39, 3,265.16 and 943.95 is: 1,414.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,178.39 : 3,265.16 = 943.95 : x
  2. Step 2: Convert to fraction form
    2,178.39/3,265.16 = 943.95/x
  3. Step 3: Cross multiply
    2,178.39x = 3,265.16 × 943.95
  4. Step 4: Simplify right side
    2,178.39x = 3,082,143.06
  5. Step 5: Solve for x
    x = 3,082,143.06/2,178.39
  6. Step 6: Final answer
    x = 1,414.87

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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.