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Finding the Fourth Proportional to 2,608.34, 3,599.67 and 1,600.16

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Solution

The fourth proportional to 2,608.34, 3,599.67 and 1,600.16 is: 2,208.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,608.34 : 3,599.67 = 1,600.16 : x
  2. Step 2: Convert to fraction form
    2,608.34/3,599.67 = 1,600.16/x
  3. Step 3: Cross multiply
    2,608.34x = 3,599.67 × 1,600.16
  4. Step 4: Simplify right side
    2,608.34x = 5,760,052.82
  5. Step 5: Solve for x
    x = 5,760,052.82/2,608.34
  6. Step 6: Final answer
    x = 2,208.32

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Why These Related Problems?

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