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Finding the Fourth Proportional to 1,356.11, 2,034.23 and 382.28

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Solution

The fourth proportional to 1,356.11, 2,034.23 and 382.28 is: 573.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,356.11 : 2,034.23 = 382.28 : x
  2. Step 2: Convert to fraction form
    1,356.11/2,034.23 = 382.28/x
  3. Step 3: Cross multiply
    1,356.11x = 2,034.23 × 382.28
  4. Step 4: Simplify right side
    1,356.11x = 777,651.49
  5. Step 5: Solve for x
    x = 777,651.49/1,356.11
  6. Step 6: Final answer
    x = 573.44

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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.