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Finding the Fourth Proportional to 2,972.52, 4,103.43 and 2,122.41

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Solution

The fourth proportional to 2,972.52, 4,103.43 and 2,122.41 is: 2,929.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,972.52 : 4,103.43 = 2,122.41 : x
  2. Step 2: Convert to fraction form
    2,972.52/4,103.43 = 2,122.41/x
  3. Step 3: Cross multiply
    2,972.52x = 4,103.43 × 2,122.41
  4. Step 4: Simplify right side
    2,972.52x = 8,709,160.87
  5. Step 5: Solve for x
    x = 8,709,160.87/2,972.52
  6. Step 6: Final answer
    x = 2,929.89

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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.