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Finding the Fourth Proportional to 2,467.05, 3,699.32 and 735.45

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Solution

The fourth proportional to 2,467.05, 3,699.32 and 735.45 is: 1,102.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,467.05 : 3,699.32 = 735.45 : x
  2. Step 2: Convert to fraction form
    2,467.05/3,699.32 = 735.45/x
  3. Step 3: Cross multiply
    2,467.05x = 3,699.32 × 735.45
  4. Step 4: Simplify right side
    2,467.05x = 2,720,661.22
  5. Step 5: Solve for x
    x = 2,720,661.22/2,467.05
  6. Step 6: Final answer
    x = 1,102.80

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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.