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Finding the Fourth Proportional to 1,338.20, 1,845.06 and 1,005.56

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Solution

The fourth proportional to 1,338.20, 1,845.06 and 1,005.56 is: 1,386.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,338.20 : 1,845.06 = 1,005.56 : x
  2. Step 2: Convert to fraction form
    1,338.20/1,845.06 = 1,005.56/x
  3. Step 3: Cross multiply
    1,338.20x = 1,845.06 × 1,005.56
  4. Step 4: Simplify right side
    1,338.20x = 1,855,318.53
  5. Step 5: Solve for x
    x = 1,855,318.53/1,338.20
  6. Step 6: Final answer
    x = 1,386.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.