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Finding the Fourth Proportional to 1,228.13, 1,842.28 and 936.09

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Solution

The fourth proportional to 1,228.13, 1,842.28 and 936.09 is: 1,404.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,228.13 : 1,842.28 = 936.09 : x
  2. Step 2: Convert to fraction form
    1,228.13/1,842.28 = 936.09/x
  3. Step 3: Cross multiply
    1,228.13x = 1,842.28 × 936.09
  4. Step 4: Simplify right side
    1,228.13x = 1,724,537.54
  5. Step 5: Solve for x
    x = 1,724,537.54/1,228.13
  6. Step 6: Final answer
    x = 1,404.20

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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.