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Finding the Fourth Proportional to 1,608.34, 2,199.25 and 1,608.34

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Solution

The fourth proportional to 1,608.34, 2,199.25 and 1,608.34 is: 2,199.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,608.34 : 2,199.25 = 1,608.34 : x
  2. Step 2: Convert to fraction form
    1,608.34/2,199.25 = 1,608.34/x
  3. Step 3: Cross multiply
    1,608.34x = 2,199.25 × 1,608.34
  4. Step 4: Simplify right side
    1,608.34x = 3,537,147.41
  5. Step 5: Solve for x
    x = 3,537,147.41/1,608.34
  6. Step 6: Final answer
    x = 2,199.25

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.