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Finding the Fourth Proportional to 2,399.52, 3,600 and 1,622.64

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Solution

The fourth proportional to 2,399.52, 3,600 and 1,622.64 is: 2,434.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,399.52 : 3,600 = 1,622.64 : x
  2. Step 2: Convert to fraction form
    2,399.52/3,600 = 1,622.64/x
  3. Step 3: Cross multiply
    2,399.52x = 3,600 × 1,622.64
  4. Step 4: Simplify right side
    2,399.52x = 5,841,504
  5. Step 5: Solve for x
    x = 5,841,504/2,399.52
  6. Step 6: Final answer
    x = 2,434.45

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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.