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Finding the Fourth Proportional to 2,122.83, 2,929.39 and 1,238.49

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Solution

The fourth proportional to 2,122.83, 2,929.39 and 1,238.49 is: 1,709.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,122.83 : 2,929.39 = 1,238.49 : x
  2. Step 2: Convert to fraction form
    2,122.83/2,929.39 = 1,238.49/x
  3. Step 3: Cross multiply
    2,122.83x = 2,929.39 × 1,238.49
  4. Step 4: Simplify right side
    2,122.83x = 3,628,020.22
  5. Step 5: Solve for x
    x = 3,628,020.22/2,122.83
  6. Step 6: Final answer
    x = 1,709.05

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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.