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Finding the Fourth Proportional to 2,138.48, 2,956.12 and 1,522.80

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Solution

The fourth proportional to 2,138.48, 2,956.12 and 1,522.80 is: 2,105.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.48 : 2,956.12 = 1,522.80 : x
  2. Step 2: Convert to fraction form
    2,138.48/2,956.12 = 1,522.80/x
  3. Step 3: Cross multiply
    2,138.48x = 2,956.12 × 1,522.80
  4. Step 4: Simplify right side
    2,138.48x = 4,501,579.54
  5. Step 5: Solve for x
    x = 4,501,579.54/2,138.48
  6. Step 6: Final answer
    x = 2,105.04

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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.