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Finding the Fourth Proportional to 2,122.89, 2,929.47 and 1,238.99

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Solution

The fourth proportional to 2,122.89, 2,929.47 and 1,238.99 is: 1,709.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,122.89 : 2,929.47 = 1,238.99 : x
  2. Step 2: Convert to fraction form
    2,122.89/2,929.47 = 1,238.99/x
  3. Step 3: Cross multiply
    2,122.89x = 2,929.47 × 1,238.99
  4. Step 4: Simplify right side
    2,122.89x = 3,629,569.39
  5. Step 5: Solve for x
    x = 3,629,569.39/2,122.89
  6. Step 6: Final answer
    x = 1,709.73

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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.