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Finding the Fourth Proportional to 1,608.93, 2,412.02 and 1,532.39

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Solution

The fourth proportional to 1,608.93, 2,412.02 and 1,532.39 is: 2,297.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,608.93 : 2,412.02 = 1,532.39 : x
  2. Step 2: Convert to fraction form
    1,608.93/2,412.02 = 1,532.39/x
  3. Step 3: Cross multiply
    1,608.93x = 2,412.02 × 1,532.39
  4. Step 4: Simplify right side
    1,608.93x = 3,696,147.10
  5. Step 5: Solve for x
    x = 3,696,147.10/1,608.93
  6. Step 6: Final answer
    x = 2,297.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.