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Finding the Fourth Proportional to 1,608.33, 2,408.37 and 1,425.15

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Solution

The fourth proportional to 1,608.33, 2,408.37 and 1,425.15 is: 2,134.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,608.33 : 2,408.37 = 1,425.15 : x
  2. Step 2: Convert to fraction form
    1,608.33/2,408.37 = 1,425.15/x
  3. Step 3: Cross multiply
    1,608.33x = 2,408.37 × 1,425.15
  4. Step 4: Simplify right side
    1,608.33x = 3,432,288.51
  5. Step 5: Solve for x
    x = 3,432,288.51/1,608.33
  6. Step 6: Final answer
    x = 2,134.07

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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.