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Finding the Fourth Proportional to 2,238.35, 3,357.36 and 1,005.44

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Solution

The fourth proportional to 2,238.35, 3,357.36 and 1,005.44 is: 1,508.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,238.35 : 3,357.36 = 1,005.44 : x
  2. Step 2: Convert to fraction form
    2,238.35/3,357.36 = 1,005.44/x
  3. Step 3: Cross multiply
    2,238.35x = 3,357.36 × 1,005.44
  4. Step 4: Simplify right side
    2,238.35x = 3,375,607.25
  5. Step 5: Solve for x
    x = 3,375,607.25/2,238.35
  6. Step 6: Final answer
    x = 1,508.08

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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.