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Finding the Fourth Proportional to 2,615.36, 3,608.64 and 1,620.32

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Solution

The fourth proportional to 2,615.36, 3,608.64 and 1,620.32 is: 2,235.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,615.36 : 3,608.64 = 1,620.32 : x
  2. Step 2: Convert to fraction form
    2,615.36/3,608.64 = 1,620.32/x
  3. Step 3: Cross multiply
    2,615.36x = 3,608.64 × 1,620.32
  4. Step 4: Simplify right side
    2,615.36x = 5,847,151.56
  5. Step 5: Solve for x
    x = 5,847,151.56/2,615.36
  6. Step 6: Final answer
    x = 2,235.70

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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.