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Finding the Fourth Proportional to 1,608.23, 2,412.21 and 742.54

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Solution

The fourth proportional to 1,608.23, 2,412.21 and 742.54 is: 1,113.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,608.23 : 2,412.21 = 742.54 : x
  2. Step 2: Convert to fraction form
    1,608.23/2,412.21 = 742.54/x
  3. Step 3: Cross multiply
    1,608.23x = 2,412.21 × 742.54
  4. Step 4: Simplify right side
    1,608.23x = 1,791,162.41
  5. Step 5: Solve for x
    x = 1,791,162.41/1,608.23
  6. Step 6: Final answer
    x = 1,113.75

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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.