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Finding the Fourth Proportional to 1,356.19, 2,034.36 and 382.37

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Solution

The fourth proportional to 1,356.19, 2,034.36 and 382.37 is: 573.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,356.19 : 2,034.36 = 382.37 : x
  2. Step 2: Convert to fraction form
    1,356.19/2,034.36 = 382.37/x
  3. Step 3: Cross multiply
    1,356.19x = 2,034.36 × 382.37
  4. Step 4: Simplify right side
    1,356.19x = 777,878.23
  5. Step 5: Solve for x
    x = 777,878.23/1,356.19
  6. Step 6: Final answer
    x = 573.58

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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.