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Finding the Fourth Proportional to 1,608.42, 2,412.63 and 1,425.36

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Solution

The fourth proportional to 1,608.42, 2,412.63 and 1,425.36 is: 2,138.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,608.42 : 2,412.63 = 1,425.36 : x
  2. Step 2: Convert to fraction form
    1,608.42/2,412.63 = 1,425.36/x
  3. Step 3: Cross multiply
    1,608.42x = 2,412.63 × 1,425.36
  4. Step 4: Simplify right side
    1,608.42x = 3,438,866.30
  5. Step 5: Solve for x
    x = 3,438,866.30/1,608.42
  6. Step 6: Final answer
    x = 2,138.04

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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.