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Finding the Fourth Proportional to 2,153.60, 3,224.10 and 1,608.20

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Solution

The fourth proportional to 2,153.60, 3,224.10 and 1,608.20 is: 2,407.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,153.60 : 3,224.10 = 1,608.20 : x
  2. Step 2: Convert to fraction form
    2,153.60/3,224.10 = 1,608.20/x
  3. Step 3: Cross multiply
    2,153.60x = 3,224.10 × 1,608.20
  4. Step 4: Simplify right side
    2,153.60x = 5,184,997.62
  5. Step 5: Solve for x
    x = 5,184,997.62/2,153.60
  6. Step 6: Final answer
    x = 2,407.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.