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Finding the Fourth Proportional to 1,608.78, 2,409.84 and 826.43

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Solution

The fourth proportional to 1,608.78, 2,409.84 and 826.43 is: 1,237.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,608.78 : 2,409.84 = 826.43 : x
  2. Step 2: Convert to fraction form
    1,608.78/2,409.84 = 826.43/x
  3. Step 3: Cross multiply
    1,608.78x = 2,409.84 × 826.43
  4. Step 4: Simplify right side
    1,608.78x = 1,991,552.02
  5. Step 5: Solve for x
    x = 1,991,552.02/1,608.78
  6. Step 6: Final answer
    x = 1,237.93

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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.