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Finding the Fourth Proportional to 2,238.51, 3,358.68 and 1,005.09

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Solution

The fourth proportional to 2,238.51, 3,358.68 and 1,005.09 is: 1,508.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,238.51 : 3,358.68 = 1,005.09 : x
  2. Step 2: Convert to fraction form
    2,238.51/3,358.68 = 1,005.09/x
  3. Step 3: Cross multiply
    2,238.51x = 3,358.68 × 1,005.09
  4. Step 4: Simplify right side
    2,238.51x = 3,375,775.68
  5. Step 5: Solve for x
    x = 3,375,775.68/2,238.51
  6. Step 6: Final answer
    x = 1,508.05

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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.