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Finding the Fourth Proportional to 1,608.03, 2,410.83 and 633.60

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Solution

The fourth proportional to 1,608.03, 2,410.83 and 633.60 is: 949.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,608.03 : 2,410.83 = 633.60 : x
  2. Step 2: Convert to fraction form
    1,608.03/2,410.83 = 633.60/x
  3. Step 3: Cross multiply
    1,608.03x = 2,410.83 × 633.60
  4. Step 4: Simplify right side
    1,608.03x = 1,527,501.89
  5. Step 5: Solve for x
    x = 1,527,501.89/1,608.03
  6. Step 6: Final answer
    x = 949.92

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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.