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Finding the Fourth Proportional to 2,467.36, 3,701.04 and 801.82

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Solution

The fourth proportional to 2,467.36, 3,701.04 and 801.82 is: 1,202.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,467.36 : 3,701.04 = 801.82 : x
  2. Step 2: Convert to fraction form
    2,467.36/3,701.04 = 801.82/x
  3. Step 3: Cross multiply
    2,467.36x = 3,701.04 × 801.82
  4. Step 4: Simplify right side
    2,467.36x = 2,967,567.89
  5. Step 5: Solve for x
    x = 2,967,567.89/2,467.36
  6. Step 6: Final answer
    x = 1,202.73

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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.