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Finding the Fourth Proportional to 2,608.64, 3,600.72 and 1,600.72

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Solution

The fourth proportional to 2,608.64, 3,600.72 and 1,600.72 is: 2,209.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,608.64 : 3,600.72 = 1,600.72 : x
  2. Step 2: Convert to fraction form
    2,608.64/3,600.72 = 1,600.72/x
  3. Step 3: Cross multiply
    2,608.64x = 3,600.72 × 1,600.72
  4. Step 4: Simplify right side
    2,608.64x = 5,763,744.52
  5. Step 5: Solve for x
    x = 5,763,744.52/2,608.64
  6. Step 6: Final answer
    x = 2,209.48

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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.