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Finding the Fourth Proportional to 2,122.64, 2,929.24 and 1,238.27

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Solution

The fourth proportional to 2,122.64, 2,929.24 and 1,238.27 is: 1,708.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,122.64 : 2,929.24 = 1,238.27 : x
  2. Step 2: Convert to fraction form
    2,122.64/2,929.24 = 1,238.27/x
  3. Step 3: Cross multiply
    2,122.64x = 2,929.24 × 1,238.27
  4. Step 4: Simplify right side
    2,122.64x = 3,627,169.18
  5. Step 5: Solve for x
    x = 3,627,169.18/2,122.64
  6. Step 6: Final answer
    x = 1,708.80

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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.