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Finding the Fourth Proportional to 1,608.05, 2,207.66 and 1,536.98

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Solution

The fourth proportional to 1,608.05, 2,207.66 and 1,536.98 is: 2,110.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,608.05 : 2,207.66 = 1,536.98 : x
  2. Step 2: Convert to fraction form
    1,608.05/2,207.66 = 1,536.98/x
  3. Step 3: Cross multiply
    1,608.05x = 2,207.66 × 1,536.98
  4. Step 4: Simplify right side
    1,608.05x = 3,393,110.54
  5. Step 5: Solve for x
    x = 3,393,110.54/1,608.05
  6. Step 6: Final answer
    x = 2,110.07

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.