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Finding the Fourth Proportional to 1,356.05, 2,034.21 and 382.16

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Solution

The fourth proportional to 1,356.05, 2,034.21 and 382.16 is: 573.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,356.05 : 2,034.21 = 382.16 : x
  2. Step 2: Convert to fraction form
    1,356.05/2,034.21 = 382.16/x
  3. Step 3: Cross multiply
    1,356.05x = 2,034.21 × 382.16
  4. Step 4: Simplify right side
    1,356.05x = 777,383.52
  5. Step 5: Solve for x
    x = 777,383.52/1,356.05
  6. Step 6: Final answer
    x = 573.27

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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.