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Finding the Fourth Proportional to 2,553.60, 3,522.81 and 1,608.74

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Solution

The fourth proportional to 2,553.60, 3,522.81 and 1,608.74 is: 2,219.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,553.60 : 3,522.81 = 1,608.74 : x
  2. Step 2: Convert to fraction form
    2,553.60/3,522.81 = 1,608.74/x
  3. Step 3: Cross multiply
    2,553.60x = 3,522.81 × 1,608.74
  4. Step 4: Simplify right side
    2,553.60x = 5,667,267.75
  5. Step 5: Solve for x
    x = 5,667,267.75/2,553.60
  6. Step 6: Final answer
    x = 2,219.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.