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Finding the Fourth Proportional to 2,508, 3,761.60 and 1,775.36

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Solution

The fourth proportional to 2,508, 3,761.60 and 1,775.36 is: 2,662.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,508 : 3,761.60 = 1,775.36 : x
  2. Step 2: Convert to fraction form
    2,508/3,761.60 = 1,775.36/x
  3. Step 3: Cross multiply
    2,508x = 3,761.60 × 1,775.36
  4. Step 4: Simplify right side
    2,508x = 6,678,166.49
  5. Step 5: Solve for x
    x = 6,678,166.49/2,508
  6. Step 6: Final answer
    x = 2,662.75

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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.