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Finding the Fourth Proportional to 1,608.68, 2,220.42 and 1,499.24

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Solution

The fourth proportional to 1,608.68, 2,220.42 and 1,499.24 is: 2,069.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,608.68 : 2,220.42 = 1,499.24 : x
  2. Step 2: Convert to fraction form
    1,608.68/2,220.42 = 1,499.24/x
  3. Step 3: Cross multiply
    1,608.68x = 2,220.42 × 1,499.24
  4. Step 4: Simplify right side
    1,608.68x = 3,328,942.48
  5. Step 5: Solve for x
    x = 3,328,942.48/1,608.68
  6. Step 6: Final answer
    x = 2,069.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.